162864 has 80 divisors (see below), whose sum is σ = 520800. Its totient is φ = 48384.

The previous prime is 162859. The next prime is 162881. The reversal of 162864 is 468261.

162864 = 22³ + 23³ + ... + 30³.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162864.

It is an unprimeable number.

162864 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 15 ways as a sum of consecutive naturals, for example, 5602 + ... + 5630.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2¹⁶²⁸⁶⁴ 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 162864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260400).

162864 is an abundant number, since it is smaller than the sum of its proper divisors (357936).

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

162864 is a wasteful number, since it uses less digits than its factorization.

162864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 47 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 162864 is about 403.5641212992. The cubic root of 162864 is about 54.6103591020.

It can be divided in two parts, 16286 and 4, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 162864 in words is "one hundred sixty-two thousand, eight hundred sixty-four".