55656656 has 60 divisors (see below), whose sum is σ = 122646912. Its totient is φ = 24240000.

The previous prime is 55656631. The next prime is 55656673. The reversal of 55656656 is 65665655.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551006 + ... + 551106.

Almost surely, 2^55656656 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 55656656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61323456).

55656656 is an abundant number, since it is smaller than the sum of its proper divisors (66990256).

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

55656656 is a wasteful number, since it uses less digits than its factorization.

55656656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 145 counting only the distinct ones).

The product of its digits is 810000, while the sum is 44.

The square root of 55656656 is about 7460.3388662982. The cubic root of 55656656 is about 381.8027361580.

It can be divided in two parts, 5565 and 6656, that added together give a palindrome (12221).

The spelling of 55656656 in words is "fifty-five million, six hundred fifty-six thousand, six hundred fifty-six".