638856000 has 336 divisors, whose sum is σ = 2410724160. Its totient is φ = 161049600.

The previous prime is 638855983. The next prime is 638856037. The reversal of 638856000 is 658836.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1367767 + ... + 1368233.

Almost surely, 2^638856000 is an apocalyptic number.

638856000 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 638856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205362080).

638856000 is an abundant number, since it is smaller than the sum of its proper divisors (1771868160).

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

638856000 is a wasteful number, since it uses less digits than its factorization.

638856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 638856000 is about 25275.6008830651. The cubic root of 638856000 is about 861.2600961628.

The spelling of 638856000 in words is "six hundred thirty-eight million, eight hundred fifty-six thousand".