55560960 has 432 divisors, whose sum is σ = 241061184. Its totient is φ = 11501568.

The previous prime is 55560931. The next prime is 55560971. The reversal of 55560960 is 6906555.

55560960 is a `hidden beast` number, since 5 + 5 + 560 + 96 + 0 = 666.

It is a super-2 number, since 2×55560960² = 6174040552243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048294 + ... + 1048346.

It is an arithmetic number, because the mean of its divisors is an integer number (558012).

Almost surely, 2^55560960 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 55560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120530592).

55560960 is an abundant number, since it is smaller than the sum of its proper divisors (185500224).

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

55560960 is a wasteful number, since it uses less digits than its factorization.

55560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 55560960 is about 7453.9224573375. The cubic root of 55560960 is about 381.5837868723.

The spelling of 55560960 in words is "fifty-five million, five hundred sixty thousand, nine hundred sixty".