53604864 has 60 divisors (see below), whose sum is σ = 154720566. Its totient is φ = 17866752.

The previous prime is 53604857. The next prime is 53604869. The reversal of 53604864 is 46840635.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 11614464 = 6480^2 + 3408^2 .

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 (53604869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1209 + ... + 10424.

Almost surely, 2^53604864 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 53604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77360283).

53604864 is an abundant number, since it is smaller than the sum of its proper divisors (101115702).

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

53604864 is a wasteful number, since it uses less digits than its factorization.

53604864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11657 (or 11638 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 53604864 is about 7321.5342654392. The cubic root of 53604864 is about 377.0521308722.

The spelling of 53604864 in words is "fifty-three million, six hundred four thousand, eight hundred sixty-four".