264316 has 36 divisors (see below), whose sum is σ = 553392. Its totient is φ = 109824.

The previous prime is 264301. The next prime is 264323. The reversal of 264316 is 613462.

264316 = T₂₅ + T₂₆ + ... + T₁₁₆.

It is a d-powerful number, because it can be written as 2¹¹ + 6 + 3⁴ + 4⁹ + 1 + 6² .

It is a congruent number.

It is an unprimeable number.

264316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11481 + ... + 11503.

It is an arithmetic number, because the mean of its divisors is an integer number (15372).

264316 is a Friedman number, since it can be written as 34*(6^(6-1)-2), using all its digits and the basic arithmetic operations.

2²⁶⁴³¹⁶ is an apocalyptic number.

264316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

264316 is an abundant number, since it is smaller than the sum of its proper divisors (289076).

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

264316 is a wasteful number, since it uses less digits than its factorization.

264316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 55 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 264316 is about 514.1167182654. The cubic root of 264316 is about 64.1762718703.

Adding to 264316 its reverse (613462), we get a palindrome (877778).

The spelling of 264316 in words is "two hundred sixty-four thousand, three hundred sixteen".