55756440 has 96 divisors (see below), whose sum is σ = 184251600. Its totient is φ = 14618880.

The previous prime is 55756411. The next prime is 55756471. The reversal of 55756440 is 4465755.

It is a happy number.

55756440 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 644 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 55756395 and 55756404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20691 + ... + 23229.

Almost surely, 2^55756440 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 55756440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92125800).

55756440 is an abundant number, since it is smaller than the sum of its proper divisors (128495160).

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

55756440 is a wasteful number, since it uses less digits than its factorization.

55756440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 55756440 is about 7467.0235033780. The cubic root of 55756440 is about 382.0307715314.

The spelling of 55756440 in words is "fifty-five million, seven hundred fifty-six thousand, four hundred forty".