120864 has 24 divisors (see below), whose sum is σ = 317520. Its totient is φ = 40256.

The previous prime is 120863. The next prime is 120871. The reversal of 120864 is 468021.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120864.

It is not an unprimeable number, because it can be changed into a prime (120863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 534 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2¹²⁰⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

120864 is an abundant number, since it is smaller than the sum of its proper divisors (196656).

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

120864 is a wasteful number, since it uses less digits than its factorization.

120864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 120864 is about 347.6550014023. The cubic root of 120864 is about 49.4423366896.

Adding to 120864 its reverse (468021), we get a palindrome (588885).

It can be divided in two parts, 12086 and 4, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 120864 in words is "one hundred twenty thousand, eight hundred sixty-four".