53624664 has 96 divisors (see below), whose sum is σ = 155254320. Its totient is φ = 16662528.

The previous prime is 53624663. The next prime is 53624693. The reversal of 53624664 is 46642635.

It is a super-2 number, since 2×53624664² = 5751209178225792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53624663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236119 + ... + 236345.

Almost surely, 2^53624664 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 53624664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77627160).

53624664 is an abundant number, since it is smaller than the sum of its proper divisors (101629656).

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

53624664 is a wasteful number, since it uses less digits than its factorization.

53624664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 442 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 53624664 is about 7322.8863162007. The cubic root of 53624664 is about 377.0985490057.

It can be divided in two parts, 536 and 24664, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 53624664 in words is "fifty-three million, six hundred twenty-four thousand, six hundred sixty-four".