262920 has 64 divisors (see below), whose sum is σ = 904320. Its totient is φ = 59904.

The previous prime is 262909. The next prime is 262937. The reversal of 262920 is 29262.

It is a happy number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 262920.

It is an unprimeable number.

262920 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 15 ways as a sum of consecutive naturals, for example, 684 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (14130).

2²⁶²⁹²⁰ is an apocalyptic number.

262920 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 262920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452160).

262920 is an abundant number, since it is smaller than the sum of its proper divisors (641400).

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

262920 is a wasteful number, since it uses less digits than its factorization.

262920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 262920 is about 512.7572525084. The cubic root of 262920 is about 64.0630888306.

The spelling of 262920 in words is "two hundred sixty-two thousand, nine hundred twenty".