638984160 has 384 divisors, whose sum is σ = 2395008000. Its totient is φ = 158754816.

The previous prime is 638984147. The next prime is 638984161. The reversal of 638984160 is 61489836.

638984160 is a `hidden beast` number, since 638 + 9 + 8 + 4 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638984161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5862186 + ... + 5862294.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2^638984160 is an apocalyptic number.

638984160 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 638984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197504000).

638984160 is an abundant number, since it is smaller than the sum of its proper divisors (1756023840).

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

638984160 is a wasteful number, since it uses less digits than its factorization.

638984160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 638984160 is about 25278.1360072296. The cubic root of 638984160 is about 861.3176843693.

The spelling of 638984160 in words is "six hundred thirty-eight million, nine hundred eighty-four thousand, one hundred sixty".