53136864 has 96 divisors (see below), whose sum is σ = 169102080. Its totient is φ = 16099200.

The previous prime is 53136833. The next prime is 53136893. The reversal of 53136864 is 46863135.

53136864 is a `hidden beast` number, since 531 + 3 + 68 + 64 = 666.

53136864 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 (96).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6709 + ... + 12299.

It is an arithmetic number, because the mean of its divisors is an integer number (1761480).

Almost surely, 2^53136864 is an apocalyptic number.

53136864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53136864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84551040).

53136864 is an abundant number, since it is smaller than the sum of its proper divisors (115965216).

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

53136864 is a wasteful number, since it uses less digits than its factorization.

53136864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621 (or 5607 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 53136864 is about 7289.5036868089. The cubic root of 53136864 is about 375.9516310196.

Adding to 53136864 its reverse (46863135), we get a palindrome (99999999).

The spelling of 53136864 in words is "fifty-three million, one hundred thirty-six thousand, eight hundred sixty-four".