120257564 has 18 divisors (see below), whose sum is σ = 244810440. Its totient is φ = 51538872.

The previous prime is 120257531. The next prime is 120257567. The reversal of 120257564 is 465752021.

It is a self number, because there is not a number n which added to its sum of digits gives 120257564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120257567) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 306584 + ... + 306975.

It is an arithmetic number, because the mean of its divisors is an integer number (13600580).

Almost surely, 2^120257564 is an apocalyptic number.

120257564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120257564 is an abundant number, since it is smaller than the sum of its proper divisors (124552876).

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

120257564 is a wasteful number, since it uses less digits than its factorization.

120257564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613577 (or 613568 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 120257564 is about 10966.2009830205. The cubic root of 120257564 is about 493.5950557134.

The spelling of 120257564 in words is "one hundred twenty million, two hundred fifty-seven thousand, five hundred sixty-four".