264680 has 32 divisors (see below), whose sum is σ = 642600. Its totient is φ = 97536.

The previous prime is 264659. The next prime is 264697. The reversal of 264680 is 86462.

264680 = T₃₈ + T₃₉ + ... + T₁₁₇.

It can be written as a sum of positive squares in 4 ways, for example, as 206116 + 58564 = 454^2 + 242^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 2⁹ + 6³ + 6⁴ + 4⁹ + 8³ + 0 .

It is an unprimeable number.

264680 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 7 ways as a sum of consecutive naturals, for example, 266 + ... + 774.

2²⁶⁴⁶⁸⁰ is an apocalyptic number.

264680 is a gapful number since it is divisible by the number (20) 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 264680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321300).

264680 is an abundant number, since it is smaller than the sum of its proper divisors (377920).

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

264680 is a wasteful number, since it uses less digits than its factorization.

264680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 264680 is about 514.4706016868. The cubic root of 264680 is about 64.2057182499.

The spelling of 264680 in words is "two hundred sixty-four thousand, six hundred eighty".