164864 has 44 divisors (see below), whose sum is σ = 393024. Its totient is φ = 67584.

The previous prime is 164839. The next prime is 164881. The reversal of 164864 is 468461.

Its product of digits (4608) is a multiple of the sum of its prime divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7157 + ... + 7179.

164864 is a Friedman number, since it can be written as (41-6/8)*4^6, using all its digits and the basic arithmetic operations.

2¹⁶⁴⁸⁶⁴ is an apocalyptic number.

164864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196512).

164864 is an abundant number, since it is smaller than the sum of its proper divisors (228160).

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

164864 is an equidigital number, since it uses as much as digits as its factorization.

164864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 32 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 164864 is about 406.0344812944. The cubic root of 164864 is about 54.8329920147.

The spelling of 164864 in words is "one hundred sixty-four thousand, eight hundred sixty-four".