56550960 has 120 divisors (see below), whose sum is σ = 197018640. Its totient is φ = 15075072.

The previous prime is 56550919. The next prime is 56550961. The reversal of 56550960 is 6905565.

56550960 is a `hidden beast` number, since 565 + 5 + 0 + 96 + 0 = 666.

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

It is a super-2 number, since 2×56550960² = 6396022153843200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56550961) 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, 17986 + ... + 20894.

It is an arithmetic number, because the mean of its divisors is an integer number (1641822).

Almost surely, 2^56550960 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 56550960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98509320).

56550960 is an abundant number, since it is smaller than the sum of its proper divisors (140467680).

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

56550960 is a wasteful number, since it uses less digits than its factorization.

56550960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2919 counting only the distinct ones).

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

The square root of 56550960 is about 7520.0372339504. The cubic root of 56550960 is about 383.8368447504.

The spelling of 56550960 in words is "fifty-six million, five hundred fifty thousand, nine hundred sixty".