120886560 has 96 divisors (see below), whose sum is σ = 423118080. Its totient is φ = 32235264.

The previous prime is 120886553. The next prime is 120886561. The reversal of 120886560 is 65688021.

It is a happy number.

120886560 is a `hidden beast` number, since 12 + 0 + 8 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×120886560² = 29227120777267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120886561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9672 + ... + 18311.

It is an arithmetic number, because the mean of its divisors is an integer number (4407480).

Almost surely, 2^120886560 is an apocalyptic number.

120886560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120886560 is an abundant number, since it is smaller than the sum of its proper divisors (302231520).

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

120886560 is a wasteful number, since it uses less digits than its factorization.

120886560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28007 (or 27993 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 120886560 is about 10994.8424272474. The cubic root of 120886560 is about 494.4541273569.

The spelling of 120886560 in words is "one hundred twenty million, eight hundred eighty-six thousand, five hundred sixty".