153864 has 24 divisors (see below), whose sum is σ = 416910. Its totient is φ = 51264.

The previous prime is 153841. The next prime is 153871. The reversal of 153864 is 468351.

153864 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 152100 + 1764 = 390^2 + 42^2 .

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

It is an unprimeable number.

153864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 997 + ... + 1140.

2¹⁵³⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

153864 is an abundant number, since it is smaller than the sum of its proper divisors (263046).

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

153864 is a wasteful number, since it uses less digits than its factorization.

153864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2142 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 153864 is about 392.2550190883. The cubic root of 153864 is about 53.5853007885.

The spelling of 153864 in words is "one hundred fifty-three thousand, eight hundred sixty-four".