55959840 has 72 divisors (see below), whose sum is σ = 190967868. Its totient is φ = 14922240.

The previous prime is 55959833. The next prime is 55959859. The reversal of 55959840 is 4895955.

55959840 is a `hidden beast` number, since 5 + 59 + 598 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54819216 + 1140624 = 7404^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

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, 17991 + ... + 20870.

Almost surely, 2^55959840 is an apocalyptic number.

It is an amenable number.

55959840 is an abundant number, since it is smaller than the sum of its proper divisors (135008028).

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

55959840 is a wasteful number, since it uses less digits than its factorization.

55959840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38882 (or 38871 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 55959840 is about 7480.6309894286. The cubic root of 55959840 is about 382.4947583544.

The spelling of 55959840 in words is "fifty-five million, nine hundred fifty-nine thousand, eight hundred forty".