638120160 has 192 divisors, whose sum is σ = 2365070400. Its totient is φ = 160137216.

The previous prime is 638120137. The next prime is 638120173. The reversal of 638120160 is 61021836.

638120160 is a `hidden beast` number, since 638 + 1 + 20 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69096 + ... + 77784.

It is an arithmetic number, because the mean of its divisors is an integer number (12318075).

Almost surely, 2^638120160 is an apocalyptic number.

638120160 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 638120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182535200).

638120160 is an abundant number, since it is smaller than the sum of its proper divisors (1726950240).

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

638120160 is a wasteful number, since it uses less digits than its factorization.

638120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8730 (or 8716 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 638120160 is about 25261.0403586234. The cubic root of 638120160 is about 860.9293001229.

Adding to 638120160 its reverse (61021836), we get a palindrome (699141996).

The spelling of 638120160 in words is "six hundred thirty-eight million, one hundred twenty thousand, one hundred sixty".