120631680 has 320 divisors, whose sum is σ = 466527600. Its totient is φ = 29528064.

The previous prime is 120631661. The next prime is 120631699. The reversal of 120631680 is 86136021.

120631680 is a `hidden beast` number, since 1 + 20 + 631 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120631661) and next prime (120631699).

It is a tau number, because it is divible by the number of its divisors (320).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673831 + ... + 674009.

Almost surely, 2^120631680 is an apocalyptic number.

120631680 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 120631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233263800).

120631680 is an abundant number, since it is smaller than the sum of its proper divisors (345895920).

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

120631680 is a wasteful number, since it uses less digits than its factorization.

120631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

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

The square root of 120631680 is about 10983.2454220053. The cubic root of 120631680 is about 494.1063766937.

The spelling of 120631680 in words is "one hundred twenty million, six hundred thirty-one thousand, six hundred eighty".