120565680 has 80 divisors (see below), whose sum is σ = 374809344. Its totient is φ = 32060160.

The previous prime is 120565661. The next prime is 120565699. The reversal of 120565680 is 86565021.

It is an interprime number because it is at equal distance from previous prime (120565661) and next prime (120565699).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165477 + ... + 166203.

Almost surely, 2^120565680 is an apocalyptic number.

120565680 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 120565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187404672).

120565680 is an abundant number, since it is smaller than the sum of its proper divisors (254243664).

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

120565680 is a wasteful number, since it uses less digits than its factorization.

120565680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 120565680 is about 10980.2404345260. The cubic root of 120565680 is about 494.0162484343.

The spelling of 120565680 in words is "one hundred twenty million, five hundred sixty-five thousand, six hundred eighty".