53934336 has 189 divisors, whose sum is σ = 171466561. Its totient is φ = 16920576.

The previous prime is 53934323. The next prime is 53934359. The reversal of 53934336 is 63343935.

The square root of 53934336 is 7344.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 11943936 = 6480^2 + 3456^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 53934336.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3172600 + ... + 3172616.

Almost surely, 2^53934336 is an apocalyptic number.

53934336 is the 7344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53934336

53934336 is an abundant number, since it is smaller than the sum of its proper divisors (117532225).

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

53934336 is an frugal number, since it uses more digits than its factorization.

53934336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 22 counting only the distinct ones).

The product of its digits is 87480, while the sum is 36.

The cubic root of 53934336 is about 377.8230464271.

Multiplying 53934336 by its sum of digits (36), we get a square (1941636096 = 44064²).

53934336 divided by its sum of digits (36) gives a square (1498176 = 1224²).

The spelling of 53934336 in words is "fifty-three million, nine hundred thirty-four thousand, three hundred thirty-six".