53624564 has 12 divisors (see below), whose sum is σ = 107249184. Its totient is φ = 22981944.

The previous prime is 53624563. The next prime is 53624591. The reversal of 53624564 is 46542635.

It is a happy number.

53624564 is an admirable number.

It is a super-3 number, since 3×53624564³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53624563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 957554 + ... + 957609.

It is an arithmetic number, because the mean of its divisors is an integer number (8937432).

Almost surely, 2^53624564 is an apocalyptic number.

It is an amenable number.

53624564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

53624564 is a wasteful number, since it uses less digits than its factorization.

53624564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915174 (or 1915172 counting only the distinct ones).

The product of its digits is 86400, while the sum is 35.

The square root of 53624564 is about 7322.8794882887. The cubic root of 53624564 is about 377.0983145994.

The spelling of 53624564 in words is "fifty-three million, six hundred twenty-four thousand, five hundred sixty-four".