638282880 has 96 divisors (see below), whose sum is σ = 2204090460. Its totient is φ = 170207232.

The previous prime is 638282849. The next prime is 638282891. The reversal of 638282880 is 88282836.

638282880 is a `hidden beast` number, since 638 + 2 + 8 + 2 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 619412544 + 18870336 = 24888^2 + 4344^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 49647 + ... + 61166.

Almost surely, 2^638282880 is an apocalyptic number.

638282880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

638282880 is an abundant number, since it is smaller than the sum of its proper divisors (1565807580).

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

638282880 is a wasteful number, since it uses less digits than its factorization.

638282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110838 (or 110823 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 638282880 is about 25264.2609232885. The cubic root of 638282880 is about 861.0024726060.

The spelling of 638282880 in words is "six hundred thirty-eight million, two hundred eighty-two thousand, eight hundred eighty".