55440 has 120 divisors (see below), whose sum is σ = 232128. Its totient is φ = 11520.

The previous prime is 55439. The next prime is 55441. The reversal of 55440 is 4455.

Adding to 55440 its reverse (4455), we get a palindrome (59895).

It can be divided in two parts, 5 and 5440, that added together give a palindrome (5445).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55439) and next prime (55441).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a nialpdrome in base 10.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (55441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5035 + ... + 5045.

55440 is a highly composite number, because it has more divisors than any smaller number.

55440 is a superabundant number, because it has a larger abundancy index than any smaller number.

2^{55440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064).

55440 is an abundant number, since it is smaller than the sum of its proper divisors (176688).

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

55440 is a wasteful number, since it uses less digits than its factorization.

55440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 55440 is about 235.4570024442. The cubic root of 55440 is about 38.1306674366.

The spelling of 55440 in words is "fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 33 35 36 40 42 44 45 48 55 56 60 63 66 70 72 77 80 84 88 90 99 105 110 112 120 126 132 140 144 154 165 168 176 180 198 210 220 231 240 252 264 280 308 315 330 336 360 385 396 420 440 462 495 504 528 560 616 630 660 693 720 770 792 840 880 924 990 1008 1155 1232 1260 1320 1386 1540 1584 1680 1848 1980 2310 2520 2640 2772 3080 3465 3696 3960 4620 5040 5544 6160 6930 7920 9240 11088 13860 18480 27720 55440

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