265632 has 24 divisors (see below), whose sum is σ = 697536. Its totient is φ = 88512.

The previous prime is 265621. The next prime is 265703. The reversal of 265632 is 236562.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a d-powerful number, because it can be written as 2¹⁰ + 6² + 6³ + 5² + 3⁷ + 2¹⁸ .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1288 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (29064).

2²⁶⁵⁶³² is an apocalyptic number.

It is an amenable number.

265632 is an abundant number, since it is smaller than the sum of its proper divisors (431904).

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

265632 is a wasteful number, since it uses less digits than its factorization.

265632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2772 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 265632 is about 515.3949941550. The cubic root of 265632 is about 64.2826044351.

It can be divided in two parts, 26563 and 2, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 265632 in words is "two hundred sixty-five thousand, six hundred thirty-two".