638924880 has 320 divisors, whose sum is σ = 2301566976. Its totient is φ = 145152000.

The previous prime is 638924861. The next prime is 638924893. The reversal of 638924880 is 88429836.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 3027975 + ... + 3028185.

Almost surely, 2^638924880 is an apocalyptic number.

638924880 is a gapful number since it is divisible by the number (60) 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 638924880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150783488).

638924880 is an abundant number, since it is smaller than the sum of its proper divisors (1662642096).

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

638924880 is a wasteful number, since it uses less digits than its factorization.

638924880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 638924880 is about 25276.9634252218. The cubic root of 638924880 is about 861.2910480849.

The spelling of 638924880 in words is "six hundred thirty-eight million, nine hundred twenty-four thousand, eight hundred eighty".