264192 has 48 divisors (see below), whose sum is σ = 720720. Its totient is φ = 86016.

The previous prime is 264179. The next prime is 264211. The reversal of 264192 is 291462.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (864) is a multiple of the sum of its prime divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6123 + ... + 6165.

It is an arithmetic number, because the mean of its divisors is an integer number (15015).

264192 is a Friedman number, since it can be written as (129*4^6)/2, using all its digits and the basic arithmetic operations.

2²⁶⁴¹⁹² 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 264192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360360).

264192 is an abundant number, since it is smaller than the sum of its proper divisors (456528).

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

264192 is an equidigital number, since it uses as much as digits as its factorization.

264192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 48 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 264192 is about 513.9961089347. The cubic root of 264192 is about 64.1662345129.

The spelling of 264192 in words is "two hundred sixty-four thousand, one hundred ninety-two".