63864960 has 256 divisors, whose sum is σ = 223257600. Its totient is φ = 15482880.

The previous prime is 63864919. The next prime is 63864961. The reversal of 63864960 is 6946836.

It is not an unprimeable number, because it can be changed into a prime (63864961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1726062 + ... + 1726098.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 2^63864960 is an apocalyptic number.

63864960 is a gapful number since it is divisible by the number (60) 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 63864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111628800).

63864960 is an abundant number, since it is smaller than the sum of its proper divisors (159392640).

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

63864960 is a wasteful number, since it uses less digits than its factorization.

63864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 63864960 is about 7991.5555431968. Note that the first 4 decimals coincide. The cubic root of 63864960 is about 399.7184685633.

The spelling of 63864960 in words is "sixty-three million, eight hundred sixty-four thousand, nine hundred sixty".