120076560 has 160 divisors (see below), whose sum is σ = 431758080. Its totient is φ = 30615552.

The previous prime is 120076531. The next prime is 120076589. The reversal of 120076560 is 65670021.

120076560 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 656 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120076531) and next prime (120076589).

It is a super-2 number, since 2×120076560² = 28836760522867200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48472 + ... + 50888.

It is an arithmetic number, because the mean of its divisors is an integer number (2698488).

Almost surely, 2^120076560 is an apocalyptic number.

120076560 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 120076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215879040).

120076560 is an abundant number, since it is smaller than the sum of its proper divisors (311681520).

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

120076560 is a wasteful number, since it uses less digits than its factorization.

120076560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 120076560 is about 10957.9450628300. The cubic root of 120076560 is about 493.3472887863.

The spelling of 120076560 in words is "one hundred twenty million, seventy-six thousand, five hundred sixty".