53533824 has 64 divisors (see below), whose sum is σ = 143616000. Its totient is φ = 17667072.

The previous prime is 53533819. The next prime is 53533841. The reversal of 53533824 is 42833535.

It is a tau number, because it is divible by the number of its divisors (64).

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, 41217 + ... + 42495.

It is an arithmetic number, because the mean of its divisors is an integer number (2244000).

Almost surely, 2^53533824 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 53533824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71808000).

53533824 is an abundant number, since it is smaller than the sum of its proper divisors (90082176).

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

53533824 is a wasteful number, since it uses less digits than its factorization.

53533824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1393 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 53533824 is about 7316.6812148678. The cubic root of 53533824 is about 376.8854940987.

The spelling of 53533824 in words is "fifty-three million, five hundred thirty-three thousand, eight hundred twenty-four".