63286912 has 64 divisors (see below), whose sum is σ = 137901960. Its totient is φ = 28753920.

The previous prime is 63286877. The next prime is 63286931. The reversal of 63286912 is 21968236.

It can be written as a sum of positive squares in 4 ways, for example, as 39237696 + 24049216 = 6264^2 + 4904^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121212 + ... + 121732.

Almost surely, 2^63286912 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 63286912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68950980).

63286912 is an abundant number, since it is smaller than the sum of its proper divisors (74615048).

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

63286912 is a wasteful number, since it uses less digits than its factorization.

63286912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 609 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 63286912 is about 7955.3071593748. The cubic root of 63286912 is about 398.5088480724.

Subtracting from 63286912 its sum of digits (37), we obtain a triangular number (63286875 = T₁₁₂₅₀).

The spelling of 63286912 in words is "sixty-three million, two hundred eighty-six thousand, nine hundred twelve".