63310464 has 128 divisors (see below), whose sum is σ = 213628800. Its totient is φ = 18081792.

The previous prime is 63310453. The next prime is 63310477. The reversal of 63310464 is 46401336.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22884 + ... + 25500.

It is an arithmetic number, because the mean of its divisors is an integer number (1668975).

Almost surely, 2^63310464 is an apocalyptic number.

63310464 is a gapful number since it is divisible by the number (64) 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 63310464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106814400).

63310464 is an abundant number, since it is smaller than the sum of its proper divisors (150318336).

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

63310464 is a wasteful number, since it uses less digits than its factorization.

63310464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 63310464 is about 7956.7872913633. The cubic root of 63310464 is about 398.5582764932.

The spelling of 63310464 in words is "sixty-three million, three hundred ten thousand, four hundred sixty-four".