53637864 has 64 divisors (see below), whose sum is σ = 157411200. Its totient is φ = 14909184.

The previous prime is 53637853. The next prime is 53637869. The reversal of 53637864 is 46873635.

53637864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (53637869) 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 15 ways as a sum of consecutive naturals, for example, 1902 + ... + 10530.

It is an arithmetic number, because the mean of its divisors is an integer number (2459550).

Almost surely, 2^53637864 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 53637864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78705600).

53637864 is an abundant number, since it is smaller than the sum of its proper divisors (103773336).

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

53637864 is a wasteful number, since it uses less digits than its factorization.

53637864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 8678 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 53637864 is about 7323.7875447066. The cubic root of 53637864 is about 377.1294880805.

The spelling of 53637864 in words is "fifty-three million, six hundred thirty-seven thousand, eight hundred sixty-four".