63816960 has 72 divisors (see below), whose sum is σ = 203827680. Its totient is φ = 17016832.

The previous prime is 63816959. The next prime is 63817009. The reversal of 63816960 is 6961836.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4470 + ... + 12149.

It is an arithmetic number, because the mean of its divisors is an integer number (2830940).

Almost surely, 2^63816960 is an apocalyptic number.

63816960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63816960 is an abundant number, since it is smaller than the sum of its proper divisors (140010720).

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

63816960 is a wasteful number, since it uses less digits than its factorization.

63816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16643 (or 16629 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 63816960 is about 7988.5518086822. The cubic root of 63816960 is about 399.6183025502.

The spelling of 63816960 in words is "sixty-three million, eight hundred sixteen thousand, nine hundred sixty".