166320 has 160 divisors (see below), whose sum is σ = 714240. Its totient is φ = 34560.

The previous prime is 166319. The next prime is 166349. The reversal of 166320 is 23661.

Adding to 166320 its reverse (23661), we get a palindrome (189981).

It can be divided in two parts, 16 and 6320, that added together give a palindrome (6336).

166320 = 56^{2} + 57^{2} + ... + 87^{2}.

It is a happy number.

166320 is a *`hidden beast`* number, since 1 + 663 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 3 and base 6.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 166293 and 166302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15115 + ... + 15125.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

166320 is a highly composite number, because it has more divisors than any smaller number.

166320 is a superabundant number, because it has a larger abundancy index than any smaller number.

2^{166320} is an apocalyptic number.

166320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

166320 is an abundant number, since it is smaller than the sum of its proper divisors (547920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166320 is a wasteful number, since it uses less digits than its factorization.

166320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 166320 is about 407.8234912312. The cubic root of 166320 is about 54.9939387260.

The spelling of 166320 in words is "one hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 33 35 36 40 42 44 45 48 54 55 56 60 63 66 70 72 77 80 84 88 90 99 105 108 110 112 120 126 132 135 140 144 154 165 168 176 180 189 198 210 216 220 231 240 252 264 270 280 297 308 315 330 336 360 378 385 396 420 432 440 462 495 504 528 540 560 594 616 630 660 693 720 756 770 792 840 880 924 945 990 1008 1080 1155 1188 1232 1260 1320 1386 1485 1512 1540 1584 1680 1848 1890 1980 2079 2160 2310 2376 2520 2640 2772 2970 3024 3080 3465 3696 3780 3960 4158 4620 4752 5040 5544 5940 6160 6930 7560 7920 8316 9240 10395 11088 11880 13860 15120 16632 18480 20790 23760 27720 33264 41580 55440 83160 166320

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