53538624 has 56 divisors (see below), whose sum is σ = 157398720. Its totient is φ = 17845632.

The previous prime is 53538613. The next prime is 53538659. The reversal of 53538624 is 42683535.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13764 + ... + 17219.

Almost surely, 2^53538624 is an apocalyptic number.

53538624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

53538624 is an abundant number, since it is smaller than the sum of its proper divisors (103860096).

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

53538624 is a wasteful number, since it uses less digits than its factorization.

53538624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31004 (or 30988 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 53538624 is about 7317.0092250864. The cubic root of 53538624 is about 376.8967579825.

The spelling of 53538624 in words is "fifty-three million, five hundred thirty-eight thousand, six hundred twenty-four".