63883680 has 96 divisors (see below), whose sum is σ = 229993344. Its totient is φ = 14601216.

The previous prime is 63883663. The next prime is 63883697. The reversal of 63883680 is 8638836.

63883680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63883663) and next prime (63883697).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×63883680² = 8162249140684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6147 + ... + 12866.

It is an arithmetic number, because the mean of its divisors is an integer number (2395764).

Almost surely, 2^63883680 is an apocalyptic number.

63883680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63883680 is an abundant number, since it is smaller than the sum of its proper divisors (166109664).

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

63883680 is a wasteful number, since it uses less digits than its factorization.

63883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19038 (or 19030 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 63883680 is about 7992.7266936885. The cubic root of 63883680 is about 399.7575197046.

The spelling of 63883680 in words is "sixty-three million, eight hundred eighty-three thousand, six hundred eighty".