63468032 has 40 divisors (see below), whose sum is σ = 128050956. Its totient is φ = 31424512.

The previous prime is 63468029. The next prime is 63468077. The reversal of 63468032 is 23086436.

It can be written as a sum of positive squares in 2 ways, for example, as 52070656 + 11397376 = 7216^2 + 3376^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 63468032.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57308 + ... + 58404.

Almost surely, 2^63468032 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 63468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64025478).

63468032 is an abundant number, since it is smaller than the sum of its proper divisors (64582924).

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

63468032 is a wasteful number, since it uses less digits than its factorization.

63468032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 63468032 is about 7966.6826220203. The cubic root of 63468032 is about 398.8886484372. Note that the first 3 decimals are identical.

The spelling of 63468032 in words is "sixty-three million, four hundred sixty-eight thousand, thirty-two".