638876160 has 480 divisors, whose sum is σ = 2502339840. Its totient is φ = 155271168.

The previous prime is 638876137. The next prime is 638876171. The reversal of 638876160 is 61678836.

638876160 is a `hidden beast` number, since 638 + 8 + 7 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 8087001 + ... + 8087079.

It is an arithmetic number, because the mean of its divisors is an integer number (5213208).

Almost surely, 2^638876160 is an apocalyptic number.

638876160 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 638876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251169920).

638876160 is an abundant number, since it is smaller than the sum of its proper divisors (1863463680).

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

638876160 is an equidigital number, since it uses as much as digits as its factorization.

638876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 638876160 is about 25275.9996834942. Note that the first 3 decimals coincide. The cubic root of 638876160 is about 861.2691554922.

The spelling of 638876160 in words is "six hundred thirty-eight million, eight hundred seventy-six thousand, one hundred sixty".