638268120 has 256 divisors, whose sum is σ = 2482560000. Its totient is φ = 145805184.

The previous prime is 638268119. The next prime is 638268133. The reversal of 638268120 is 21862836.

638268120 is a `hidden beast` number, since 638 + 2 + 6 + 8 + 12 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369579 + ... + 371301.

It is an arithmetic number, because the mean of its divisors is an integer number (9697500).

Almost surely, 2^638268120 is an apocalyptic number.

638268120 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 638268120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241280000).

638268120 is an abundant number, since it is smaller than the sum of its proper divisors (1844291880).

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

638268120 is a wasteful number, since it uses less digits than its factorization.

638268120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 638268120 is about 25263.9688093538. The cubic root of 638268120 is about 860.9958357919.

It can be divided in two parts, 6 and 38268120, that added together give a triangular number (38268126 = T₈₇₄₈).

The spelling of 638268120 in words is "six hundred thirty-eight million, two hundred sixty-eight thousand, one hundred twenty".