63964224 has 42 divisors (see below), whose sum is σ = 183343550. Its totient is φ = 21321216.

The previous prime is 63964213. The next prime is 63964237. The reversal of 63964224 is 42246936.

63964224 is a `hidden beast` number, since 6 + 3 + 9 + 642 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 4981824 = 7680^2 + 2232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54949 + ... + 56100.

Almost surely, 2^63964224 is an apocalyptic number.

63964224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

63964224 is an abundant number, since it is smaller than the sum of its proper divisors (119379326).

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

63964224 is a wasteful number, since it uses less digits than its factorization.

63964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111067 (or 111054 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 63964224 is about 7997.7636874316. The cubic root of 63964224 is about 399.9254527743.

The spelling of 63964224 in words is "sixty-three million, nine hundred sixty-four thousand, two hundred twenty-four".