53691664 has 40 divisors (see below), whose sum is σ = 112539672. Its totient is φ = 24668160.

The previous prime is 53691647. The next prime is 53691709. The reversal of 53691664 is 46619635.

It can be written as a sum of positive squares in 4 ways, for example, as 4579600 + 49112064 = 2140^2 + 7008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60504 + ... + 61384.

Almost surely, 2^53691664 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 53691664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56269836).

53691664 is an abundant number, since it is smaller than the sum of its proper divisors (58848008).

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

53691664 is a wasteful number, since it uses less digits than its factorization.

53691664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).

The product of its digits is 116640, while the sum is 40.

The square root of 53691664 is about 7327.4595870602. The cubic root of 53691664 is about 377.2555357707.

The spelling of 53691664 in words is "fifty-three million, six hundred ninety-one thousand, six hundred sixty-four".