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66960 = 2433531
BaseRepresentation
bin10000010110010000
310101212000
4100112100
54120320
61234000
7366135
oct202620
9111760
1066960
1146343
1232900
132462a
141a58c
1514c90
hex10590

66960 has 80 divisors (see below), whose sum is σ = 238080. Its totient is φ = 17280.

The previous prime is 66959. The next prime is 66973. The reversal of 66960 is 6966.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2145 + ... + 2175.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

266960 is an apocalyptic number.

66960 is a gapful number since it is divisible by the number (60) 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 66960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040).

66960 is an abundant number, since it is smaller than the sum of its proper divisors (171120).

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

66960 is a wasteful number, since it uses less digits than its factorization.

66960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 66960 is about 258.7663038342. The cubic root of 66960 is about 40.6073967126.

It can be divided in two parts, 669 and 60, that added together give a 6-th power (729 = 36).

The spelling of 66960 in words is "sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2480 2790 3348 3720 4185 4464 5580 6696 7440 8370 11160 13392 16740 22320 33480 66960