638976000 has 288 divisors, whose sum is σ = 2290081248. Its totient is φ = 157286400.

The previous prime is 638975983. The next prime is 638976007. The reversal of 638976000 is 679836.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 638976000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638976007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49151994 + ... + 49152006.

It is an arithmetic number, because the mean of its divisors is an integer number (7951671).

Almost surely, 2^638976000 is an apocalyptic number.

638976000 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 638976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145040624).

638976000 is an abundant number, since it is smaller than the sum of its proper divisors (1651105248).

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

638976000 is an frugal number, since it uses more digits than its factorization.

638976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 638976000 is about 25277.9746024083. The cubic root of 638976000 is about 861.3140179340.

The spelling of 638976000 in words is "six hundred thirty-eight million, nine hundred seventy-six thousand".