262320 has 40 divisors (see below), whose sum is σ = 813936. Its totient is φ = 69888.

The previous prime is 262313. The next prime is 262321. The reversal of 262320 is 23262.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 262320.

It is not an unprimeable number, because it can be changed into a prime (262321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307 + ... + 786.

2²⁶²³²⁰ is an apocalyptic number.

262320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

262320 is an abundant number, since it is smaller than the sum of its proper divisors (551616).

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

262320 is a wasteful number, since it uses less digits than its factorization.

262320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 262320 is about 512.1718461610. The cubic root of 262320 is about 64.0143197125.

Adding to 262320 its reverse (23262), we get a palindrome (285582).

It can be divided in two parts, 26 and 2320, that added together give a triangular number (2346 = T₆₈).

The spelling of 262320 in words is "two hundred sixty-two thousand, three hundred twenty".