120652560 has 240 divisors, whose sum is σ = 476326656. Its totient is φ = 26790912.

The previous prime is 120652537. The next prime is 120652561. The reversal of 120652560 is 65256021.

120652560 is a `hidden beast` number, since 1 + 2 + 0 + 652 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (120652561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186157 + ... + 186803.

Almost surely, 2^120652560 is an apocalyptic number.

120652560 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 120652560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238163328).

120652560 is an abundant number, since it is smaller than the sum of its proper divisors (355674096).

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

120652560 is a wasteful number, since it uses less digits than its factorization.

120652560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 120652560 is about 10984.1959195928. The cubic root of 120652560 is about 494.1348831523.

The spelling of 120652560 in words is "one hundred twenty million, six hundred fifty-two thousand, five hundred sixty".