261264 has 20 divisors (see below), whose sum is σ = 675056. Its totient is φ = 87072.

The previous prime is 261251. The next prime is 261271. The reversal of 261264 is 462162.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6 and base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 261264.

It is an unprimeable number.

261264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2674 + ... + 2769.

2²⁶¹²⁶⁴ is an apocalyptic number.

261264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261264 is an abundant number, since it is smaller than the sum of its proper divisors (413792).

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

261264 is a wasteful number, since it uses less digits than its factorization.

261264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5454 (or 5448 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 261264 is about 511.1399025707. The cubic root of 261264 is about 63.9283051317.

It can be divided in two parts, 261 and 264, that added together give a palindrome (525).

The spelling of 261264 in words is "two hundred sixty-one thousand, two hundred sixty-four".