55646624 has 48 divisors (see below), whose sum is σ = 120657600. Its totient is φ = 25052160.

The previous prime is 55646599. The next prime is 55646629. The reversal of 55646624 is 42664655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55646629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39077 + ... + 40475.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^55646624 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 55646624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60328800).

55646624 is an abundant number, since it is smaller than the sum of its proper divisors (65010976).

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

55646624 is a wasteful number, since it uses less digits than its factorization.

55646624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1525 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 55646624 is about 7459.6664804802. Note that the first 3 decimals coincide. The cubic root of 55646624 is about 381.7797950552.

The spelling of 55646624 in words is "fifty-five million, six hundred forty-six thousand, six hundred twenty-four".