264112 has 20 divisors (see below), whose sum is σ = 542376. Its totient is φ = 124160.

The previous prime is 264101. The next prime is 264113. The reversal of 264112 is 211462.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (264113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214 + ... + 757.

2²⁶⁴¹¹² is an apocalyptic number.

It is an amenable number.

264112 is an abundant number, since it is smaller than the sum of its proper divisors (278264).

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

264112 is a wasteful number, since it uses less digits than its factorization.

264112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 264112 is about 513.9182814417. The cubic root of 264112 is about 64.1597571316.

Adding to 264112 its reverse (211462), we get a palindrome (475574).

Subtracting from 264112 its reverse (211462), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 264112 in words is "two hundred sixty-four thousand, one hundred twelve".