55624320 has 320 divisors, whose sum is σ = 211048200. Its totient is φ = 13934592.

The previous prime is 55624297. The next prime is 55624339. The reversal of 55624320 is 2342655.

55624320 is a `hidden beast` number, since 5 + 5 + 624 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52881984 + 2742336 = 7272^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1503342 + ... + 1503378.

Almost surely, 2^55624320 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 55624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105524100).

55624320 is an abundant number, since it is smaller than the sum of its proper divisors (155423880).

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

55624320 is a wasteful number, since it uses less digits than its factorization.

55624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 55624320 is about 7458.1713576453. The cubic root of 55624320 is about 381.7287805529.

Adding to 55624320 its reverse (2342655), we get a palindrome (57966975).

The spelling of 55624320 in words is "fifty-five million, six hundred twenty-four thousand, three hundred twenty".