262890 has 48 divisors (see below), whose sum is σ = 718848. Its totient is φ = 66528.

The previous prime is 262883. The next prime is 262897. The reversal of 262890 is 98262.

It is an interprime number because it is at equal distance from previous prime (262883) and next prime (262897).

It is a super-2 number, since 2×262890² = 138222304200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (262897) by changing a digit.

262890 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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2007 + ... + 2133.

It is an arithmetic number, because the mean of its divisors is an integer number (14976).

2²⁶²⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 262890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359424).

262890 is an abundant number, since it is smaller than the sum of its proper divisors (455958).

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

262890 is a wasteful number, since it uses less digits than its factorization.

262890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 262890 is about 512.7279980653. The cubic root of 262890 is about 64.0606521379.

Subtracting from 262890 its product of nonzero digits (1728), we obtain a palindrome (261162).

It can be divided in two parts, 26 and 2890, that added together give a square (2916 = 54²).

The spelling of 262890 in words is "two hundred sixty-two thousand, eight hundred ninety".