63288864 has 84 divisors (see below), whose sum is σ = 186883326. Its totient is φ = 21088512.

The previous prime is 63288857. The next prime is 63288881. The reversal of 63288864 is 46888236.

It is a happy number.

63288864 is a `hidden beast` number, since 632 + 8 + 8 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35283600 + 28005264 = 5940^2 + 5292^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21972 + ... + 24684.

Almost surely, 2^63288864 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 63288864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93441663).

63288864 is an abundant number, since it is smaller than the sum of its proper divisors (123594462).

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

63288864 is an equidigital number, since it uses as much as digits as its factorization.

63288864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2718 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 63288864 is about 7955.4298438237. The cubic root of 63288864 is about 398.5129451874.

The spelling of 63288864 in words is "sixty-three million, two hundred eighty-eight thousand, eight hundred sixty-four".