120900564 has 18 divisors (see below), whose sum is σ = 305609850. Its totient is φ = 40300176.

The previous prime is 120900547. The next prime is 120900599. The reversal of 120900564 is 465009021.

120900564 is a `hidden beast` number, since 12 + 0 + 90 + 0 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90098064 + 30802500 = 9492^2 + 5550^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1679139 + ... + 1679210.

It is an arithmetic number, because the mean of its divisors is an integer number (16978325).

Almost surely, 2^120900564 is an apocalyptic number.

It is an amenable number.

120900564 is an abundant number, since it is smaller than the sum of its proper divisors (184709286).

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

120900564 is a wasteful number, since it uses less digits than its factorization.

120900564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358359 (or 3358354 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 120900564 is about 10995.4792528566. The cubic root of 120900564 is about 494.4732198247.

Adding to 120900564 its reverse (465009021), we get a palindrome (585909585).

The spelling of 120900564 in words is "one hundred twenty million, nine hundred thousand, five hundred sixty-four".