53622624 has 192 divisors, whose sum is σ = 169827840. Its totient is φ = 14622720.

The previous prime is 53622587. The next prime is 53622631. The reversal of 53622624 is 42622635.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53622591 and 53622600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520557 + ... + 520659.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^53622624 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 53622624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

53622624 is an abundant number, since it is smaller than the sum of its proper divisors (116205216).

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

53622624 is a wasteful number, since it uses less digits than its factorization.

53622624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 53622624 is about 7322.7470255363. The cubic root of 53622624 is about 377.0937670593.

The spelling of 53622624 in words is "fifty-three million, six hundred twenty-two thousand, six hundred twenty-four".