55968160 has 24 divisors (see below), whose sum is σ = 132225156. Its totient is φ = 22387200.

The previous prime is 55968137. The next prime is 55968181. The reversal of 55968160 is 6186955.

It can be written as a sum of positive squares in 2 ways, for example, as 55771024 + 197136 = 7468^2 + 444^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174741 + ... + 175060.

Almost surely, 2^55968160 is an apocalyptic number.

It is an amenable number.

55968160 is an abundant number, since it is smaller than the sum of its proper divisors (76256996).

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

55968160 is a wasteful number, since it uses less digits than its factorization.

55968160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349816 (or 349808 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 55968160 is about 7481.1870715816. The cubic root of 55968160 is about 382.5137136069.

The spelling of 55968160 in words is "fifty-five million, nine hundred sixty-eight thousand, one hundred sixty".