262680 has 64 divisors (see below), whose sum is σ = 864000. Its totient is φ = 63360.

The previous prime is 262657. The next prime is 262681. The reversal of 262680 is 86262.

262680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 262680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221 + ... + 1419.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2²⁶²⁶⁸⁰ is an apocalyptic number.

262680 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 262680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

262680 is an abundant number, since it is smaller than the sum of its proper divisors (601320).

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

262680 is a wasteful number, since it uses less digits than its factorization.

262680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 262680 is about 512.5231702079. The cubic root of 262680 is about 64.0435900959.

The spelling of 262680 in words is "two hundred sixty-two thousand, six hundred eighty".