63512960 has 64 divisors (see below), whose sum is σ = 173538720. Its totient is φ = 21774336.

The previous prime is 63512957. The next prime is 63512963. The reversal of 63512960 is 6921536.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (63512957) and next prime (63512963).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63512963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2609 + ... + 11568.

Almost surely, 2^63512960 is an apocalyptic number.

It is an amenable number.

63512960 is an abundant number, since it is smaller than the sum of its proper divisors (110025760).

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

63512960 is a wasteful number, since it uses less digits than its factorization.

63512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14203 (or 14191 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 63512960 is about 7969.5018664908. The cubic root of 63512960 is about 398.9827485250.

The spelling of 63512960 in words is "sixty-three million, five hundred twelve thousand, nine hundred sixty".