63288960 has 256 divisors, whose sum is σ = 244995840. Its totient is φ = 13565952.

The previous prime is 63288947. The next prime is 63288989. The reversal of 63288960 is 6988236.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 228342 + ... + 228618.

It is an arithmetic number, because the mean of its divisors is an integer number (957015).

Almost surely, 2^63288960 is an apocalyptic number.

63288960 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 63288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122497920).

63288960 is an abundant number, since it is smaller than the sum of its proper divisors (181706880).

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

63288960 is a wasteful number, since it uses less digits than its factorization.

63288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 63288960 is about 7955.4358774363. The cubic root of 63288960 is about 398.5131466827.

The spelling of 63288960 in words is "sixty-three million, two hundred eighty-eight thousand, nine hundred sixty".