638890200 has 384 divisors, whose sum is σ = 2499840000. Its totient is φ = 148677120.

The previous prime is 638890199. The next prime is 638890267. The reversal of 638890200 is 2098836.

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 95 ways as a sum of consecutive naturals, for example, 1333561 + ... + 1334039.

It is an arithmetic number, because the mean of its divisors is an integer number (6510000).

Almost surely, 2^638890200 is an apocalyptic number.

638890200 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 638890200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920000).

638890200 is an abundant number, since it is smaller than the sum of its proper divisors (1860949800).

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

638890200 is a wasteful number, since it uses less digits than its factorization.

638890200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 638890200 is about 25276.2774157905. The cubic root of 638890200 is about 861.2754645555.

The spelling of 638890200 in words is "six hundred thirty-eight million, eight hundred ninety thousand, two hundred".