264306 has 48 divisors (see below), whose sum is σ = 656640. Its totient is φ = 70560.

The previous prime is 264301. The next prime is 264323. The reversal of 264306 is 603462.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264301) by changing a digit.

264306 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 23 ways as a sum of consecutive naturals, for example, 8511 + ... + 8541.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

264306 is a Friedman number, since it can be written as 203*(6+6^4), using all its digits and the basic arithmetic operations.

2²⁶⁴³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320).

264306 is an abundant number, since it is smaller than the sum of its proper divisors (392334).

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

264306 is a wasteful number, since it uses less digits than its factorization.

264306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 264306 is about 514.1069927554. The cubic root of 264306 is about 64.1754625224.

Adding to 264306 its reverse (603462), we get a palindrome (867768).

The spelling of 264306 in words is "two hundred sixty-four thousand, three hundred six".