264528 has 60 divisors (see below), whose sum is σ = 812448. Its totient is φ = 79680.

The previous prime is 264527. The next prime is 264529. The reversal of 264528 is 825462.

It is an interprime number because it is at equal distance from previous prime (264527) and next prime (264529).

Its product of digits (3840) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1501 + ... + 1667.

2²⁶⁴⁵²⁸ 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 264528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

264528 is an abundant number, since it is smaller than the sum of its proper divisors (547920).

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

264528 is a wasteful number, since it uses less digits than its factorization.

264528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 264528 is about 514.3228558017. The cubic root of 264528 is about 64.1934252445.

It can be divided in two parts, 26 and 4528, that added together give a palindrome (4554).

The spelling of 264528 in words is "two hundred sixty-four thousand, five hundred twenty-eight".