63904896 has 192 divisors, whose sum is σ = 210895200. Its totient is φ = 18892800.

The previous prime is 63904889. The next prime is 63904901. The reversal of 63904896 is 69840936.

63904896 is a `hidden beast` number, since 639 + 0 + 4 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1558636 + ... + 1558676.

Almost surely, 2^63904896 is an apocalyptic number.

63904896 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63904896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105447600).

63904896 is an abundant number, since it is smaller than the sum of its proper divisors (146990304).

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

63904896 is a wasteful number, since it uses less digits than its factorization.

63904896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 63904896 is about 7994.0537901618. The cubic root of 63904896 is about 399.8017684435.

The spelling of 63904896 in words is "sixty-three million, nine hundred four thousand, eight hundred ninety-six".