53612832 has 288 divisors, whose sum is σ = 193560192. Its totient is φ = 12607488.

The previous prime is 53612821. The next prime is 53612837. The reversal of 53612832 is 23821635.

It is a self number, because there is not a number n which added to its sum of digits gives 53612832.

It is not an unprimeable number, because it can be changed into a prime (53612837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2821719 + ... + 2821737.

It is an arithmetic number, because the mean of its divisors is an integer number (672084).

Almost surely, 2^53612832 is an apocalyptic number.

53612832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53612832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96780096).

53612832 is an abundant number, since it is smaller than the sum of its proper divisors (139947360).

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

53612832 is a wasteful number, since it uses less digits than its factorization.

53612832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 61 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 53612832 is about 7322.0783934618. The cubic root of 53612832 is about 377.0708120286.

The spelling of 53612832 in words is "fifty-three million, six hundred twelve thousand, eight hundred thirty-two".