63968328 has 48 divisors (see below), whose sum is σ = 173971980. Its totient is φ = 21233664.

The previous prime is 63968293. The next prime is 63968339. The reversal of 63968328 is 82386936.

63968328 is a `hidden beast` number, since 639 + 6 + 8 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63968004 + 324 = 7998^2 + 18^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16776 + ... + 20232.

Almost surely, 2^63968328 is an apocalyptic number.

It is an amenable number.

63968328 is an abundant number, since it is smaller than the sum of its proper divisors (110003652).

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

63968328 is a wasteful number, since it uses less digits than its factorization.

63968328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726 (or 3719 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 63968328 is about 7998.0202550381. The cubic root of 63968328 is about 399.9340057792.

The spelling of 63968328 in words is "sixty-three million, nine hundred sixty-eight thousand, three hundred twenty-eight".