55633632 has 24 divisors (see below), whose sum is σ = 146038536. Its totient is φ = 18544512.

The previous prime is 55633631. The next prime is 55633649. The reversal of 55633632 is 23633655.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×55633632² = 6190202019022848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55633593 and 55633602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55633631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 289663 + ... + 289854.

It is an arithmetic number, because the mean of its divisors is an integer number (6084939).

Almost surely, 2^55633632 is an apocalyptic number.

It is an amenable number.

55633632 is an abundant number, since it is smaller than the sum of its proper divisors (90404904).

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

55633632 is a wasteful number, since it uses less digits than its factorization.

55633632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579530 (or 579522 counting only the distinct ones).

The product of its digits is 48600, while the sum is 33.

The square root of 55633632 is about 7458.7956132341. The cubic root of 55633632 is about 381.7500809485.

It can be divided in two parts, 55633 and 632, that added together give a palindrome (56265).

The spelling of 55633632 in words is "fifty-five million, six hundred thirty-three thousand, six hundred thirty-two".