262260 has 72 divisors (see below), whose sum is σ = 838656. Its totient is φ = 66240.

The previous prime is 262253. The next prime is 262261. The reversal of 262260 is 62262.

262260 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 (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 262260.

It is not an unprimeable number, because it can be changed into a prime (262261) by changing a digit.

262260 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 (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5557 + ... + 5603.

It is an arithmetic number, because the mean of its divisors is an integer number (11648).

2²⁶²²⁶⁰ is an apocalyptic number.

262260 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 262260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419328).

262260 is an abundant number, since it is smaller than the sum of its proper divisors (576396).

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

262260 is a wasteful number, since it uses less digits than its factorization.

262260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 262260 is about 512.1132687209. The cubic root of 262260 is about 64.0094387121.

The spelling of 262260 in words is "two hundred sixty-two thousand, two hundred sixty".