120392564 has 24 divisors (see below), whose sum is σ = 216707400. Its totient is φ = 58488320.

The previous prime is 120392551. The next prime is 120392567. The reversal of 120392564 is 465293021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2496400 + 117896164 = 1580^2 + 10858^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 120392564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120392567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42752 + ... + 45480.

It is an arithmetic number, because the mean of its divisors is an integer number (9029475).

Almost surely, 2^120392564 is an apocalyptic number.

It is an amenable number.

120392564 is a deficient number, since it is larger than the sum of its proper divisors (96314836).

120392564 is a wasteful number, since it uses less digits than its factorization.

120392564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 120392564 is about 10972.3545330982. The cubic root of 120392564 is about 493.7796883500.

The spelling of 120392564 in words is "one hundred twenty million, three hundred ninety-two thousand, five hundred sixty-four".