265680 has 100 divisors (see below), whose sum is σ = 945252. Its totient is φ = 69120.

The previous prime is 265621. The next prime is 265703. The reversal of 265680 is 86562.

265680 is a `hidden beast` number, since 2 + 656 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 219024 = 216^2 + 468^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3, base 6 and base 9.

It is a zygodrome in base 3 and base 9.

It is a congruent number.

It is an unprimeable number.

265680 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 19 ways as a sum of consecutive naturals, for example, 6460 + ... + 6500.

2²⁶⁵⁶⁸⁰ is an apocalyptic number.

265680 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 265680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472626).

265680 is an abundant number, since it is smaller than the sum of its proper divisors (679572).

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

265680 is a wasteful number, since it uses less digits than its factorization.

265680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 265680 is about 515.4415582779. The cubic root of 265680 is about 64.2864761814.

The spelling of 265680 in words is "two hundred sixty-five thousand, six hundred eighty".