262566 has 24 divisors (see below), whose sum is σ = 589680. Its totient is φ = 84336.

The previous prime is 262553. The next prime is 262567. The reversal of 262566 is 665262.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

Its product of digits (4320) is a multiple of the sum of its prime factors (540).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2²⁶²⁵⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 262566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840).

262566 is an abundant number, since it is smaller than the sum of its proper divisors (327114).

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

262566 is a wasteful number, since it uses less digits than its factorization.

262566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 537 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 262566 is about 512.4119436547. The cubic root of 262566 is about 64.0343240362.

It can be divided in two parts, 26256 and 6, that added together give a palindrome (26262).

The spelling of 262566 in words is "two hundred sixty-two thousand, five hundred sixty-six".