264264 has 96 divisors (see below), whose sum is σ = 893760. Its totient is φ = 63360.

The previous prime is 264263. The next prime is 264269. The reversal of 264264 is 462462.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

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

It is a d-powerful number, because it can be written as 2¹⁷ + 6² + 2¹⁷ + 4⁵ + 6² + 4⁵ .

Its product of digits (2304) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20322 + ... + 20334.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

2²⁶⁴²⁶⁴ is an apocalyptic number.

264264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446880).

264264 is an abundant number, since it is smaller than the sum of its proper divisors (629496).

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

264264 is a wasteful number, since it uses less digits than its factorization.

264264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 36 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 264264 is about 514.0661436041. The cubic root of 264264 is about 64.1720630382.

264264 divided by its sum of digits (24) gives a palindrome (11011).

It can be divided in two parts, 264 and 264, that added together give a triangular number (528 = T₃₂).

The spelling of 264264 in words is "two hundred sixty-four thousand, two hundred sixty-four".