53334864 has 90 divisors (see below), whose sum is σ = 164120138. Its totient is φ = 16156800.

The previous prime is 53334863. The next prime is 53334889. The reversal of 53334864 is 46843335.

53334864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 52707600 + 627264 = 7260^2 + 792^2 .

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 (53334863) 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 17 ways as a sum of consecutive naturals, for example, 15894 + ... + 18954.

Almost surely, 2^53334864 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 53334864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82060069).

53334864 is an abundant number, since it is smaller than the sum of its proper divisors (110785274).

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

53334864 is a wasteful number, since it uses less digits than its factorization.

53334864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3077 counting only the distinct ones).

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

The square root of 53334864 is about 7303.0722302330. The cubic root of 53334864 is about 376.4180125492.

The spelling of 53334864 in words is "fifty-three million, three hundred thirty-four thousand, eight hundred sixty-four".