55996560 has 60 divisors (see below), whose sum is σ = 188057532. Its totient is φ = 14932224.

The previous prime is 55996547. The next prime is 55996561. The reversal of 55996560 is 6569955.

55996560 is a `hidden beast` number, since 5 + 599 + 6 + 56 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12278016 + 43718544 = 3504^2 + 6612^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×55996560² = 6271229463667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55996561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38167 + ... + 39606.

Almost surely, 2^55996560 is an apocalyptic number.

It is an amenable number.

55996560 is an abundant number, since it is smaller than the sum of its proper divisors (132060972).

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

55996560 is a wasteful number, since it uses less digits than its factorization.

55996560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77792 (or 77783 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 55996560 is about 7483.0849253500. The cubic root of 55996560 is about 382.5784024854.

The spelling of 55996560 in words is "fifty-five million, nine hundred ninety-six thousand, five hundred sixty".