156864 has 56 divisors (see below), whose sum is σ = 447040. Its totient is φ = 48384.

The previous prime is 156841. The next prime is 156887. The reversal of 156864 is 468651.

156864 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (156841) and next prime (156887).

It is an unprimeable number.

156864 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 7 ways as a sum of consecutive naturals, for example, 3627 + ... + 3669.

2¹⁵⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223520).

156864 is an abundant number, since it is smaller than the sum of its proper divisors (290176).

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

156864 is a wasteful number, since it uses less digits than its factorization.

156864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 67 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 156864 is about 396.0606014236. The cubic root of 156864 is about 53.9313255948.

It can be divided in two parts, 1 and 56864, that added together give a palindrome (56865).

The spelling of 156864 in words is "one hundred fifty-six thousand, eight hundred sixty-four".