120163680 has 432 divisors, whose sum is σ = 517621104. Its totient is φ = 25159680.

The previous prime is 120163651. The next prime is 120163699. The reversal of 120163680 is 86361021.

120163680 is a `hidden beast` number, since 1 + 20 + 1 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×120163680² = 28878619982284800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917215 + ... + 917345.

It is an arithmetic number, because the mean of its divisors is an integer number (1198197).

Almost surely, 2^120163680 is an apocalyptic number.

120163680 is a gapful number since it is divisible by the number (10) 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 120163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258810552).

120163680 is an abundant number, since it is smaller than the sum of its proper divisors (397457424).

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

120163680 is a wasteful number, since it uses less digits than its factorization.

120163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

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

The square root of 120163680 is about 10961.9195399346. The cubic root of 120163680 is about 493.4665738640.

The spelling of 120163680 in words is "one hundred twenty million, one hundred sixty-three thousand, six hundred eighty".