53738624 has 64 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 25052160.

The previous prime is 53738617. The next prime is 53738627. The reversal of 53738624 is 42683735.

53738624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (53738627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114839 + ... + 115305.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 2^53738624 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 53738624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

53738624 is an abundant number, since it is smaller than the sum of its proper divisors (60827776).

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

53738624 is a wasteful number, since it uses less digits than its factorization.

53738624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 529 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 53738624 is about 7330.6632714919. The cubic root of 53738624 is about 377.3654892609.

The spelling of 53738624 in words is "fifty-three million, seven hundred thirty-eight thousand, six hundred twenty-four".