53664000 has 288 divisors, whose sum is σ = 196420224. Its totient is φ = 12902400.

The previous prime is 53663971. The next prime is 53664011. The reversal of 53664000 is 46635.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247979 + ... + 1248021.

Almost surely, 2^53664000 is an apocalyptic number.

53664000 is a gapful number since it is divisible by the number (50) 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 53664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98210112).

53664000 is an abundant number, since it is smaller than the sum of its proper divisors (142756224).

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

53664000 is a wasteful number, since it uses less digits than its factorization.

53664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 53664000 is about 7325.5716500489. The cubic root of 53664000 is about 377.1907324767.

The spelling of 53664000 in words is "fifty-three million, six hundred sixty-four thousand".