63088512 has 64 divisors (see below), whose sum is σ = 176419200. Its totient is φ = 19920384.

The previous prime is 63088511. The next prime is 63088559. The reversal of 63088512 is 21588036.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63088511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2973 + ... + 11619.

It is an arithmetic number, because the mean of its divisors is an integer number (2756550).

Almost surely, 2^63088512 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 63088512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88209600).

63088512 is an abundant number, since it is smaller than the sum of its proper divisors (113330688).

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

63088512 is a wasteful number, since it uses less digits than its factorization.

63088512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8683 (or 8671 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 63088512 is about 7942.8277080647. The cubic root of 63088512 is about 398.0919797851.

The spelling of 63088512 in words is "sixty-three million, eighty-eight thousand, five hundred twelve".