262280 has 32 divisors (see below), whose sum is σ = 604800. Its totient is φ = 102336.

The previous prime is 262271. The next prime is 262303. The reversal of 262280 is 82262.

262280 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 (20).

It is a d-powerful number, because it can be written as 2 + 6 + 2⁶ + 2¹⁸ + 8² + 0 .

It is a congruent number.

It is an unprimeable number.

262280 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 (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3119 + ... + 3201.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2²⁶²²⁸⁰ is an apocalyptic number.

262280 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 262280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

262280 is an abundant number, since it is smaller than the sum of its proper divisors (342520).

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

262280 is a wasteful number, since it uses less digits than its factorization.

262280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 262280 is about 512.1327952787. The cubic root of 262280 is about 64.0110657949.

The spelling of 262280 in words is "two hundred sixty-two thousand, two hundred eighty".