262880 has 48 divisors (see below), whose sum is σ = 653184. Its totient is φ = 99840.

The previous prime is 262877. The next prime is 262883. The reversal of 262880 is 88262.

It is an interprime number because it is at equal distance from previous prime (262877) and next prime (262883).

It is a d-powerful number, because it can be written as 2¹⁷ + 6³ + 8 + 2¹⁷ + 8³ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262883) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4934 + ... + 4986.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2²⁶²⁸⁸⁰ is an apocalyptic number.

262880 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 262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592).

262880 is an abundant number, since it is smaller than the sum of its proper divisors (390304).

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

262880 is a wasteful number, since it uses less digits than its factorization.

262880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 262880 is about 512.7182462133. The cubic root of 262880 is about 64.0598398657.

The spelling of 262880 in words is "two hundred sixty-two thousand, eight hundred eighty".