262856 has 32 divisors (see below), whose sum is σ = 561600. Its totient is φ = 114240.

The previous prime is 262853. The next prime is 262877. The reversal of 262856 is 658262.

262856 = T₂₉ + T₃₀ + ... + T₁₁₆.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (262853) 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, 2501 + ... + 2603.

It is an arithmetic number, because the mean of its divisors is an integer number (17550).

2²⁶²⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 262856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280800).

262856 is an abundant number, since it is smaller than the sum of its proper divisors (298744).

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

262856 is a wasteful number, since it uses less digits than its factorization.

262856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 262856 is about 512.6948410117. The cubic root of 262856 is about 64.0578903286.

It can be divided in two parts, 26 and 2856, that added together give a palindrome (2882).

The spelling of 262856 in words is "two hundred sixty-two thousand, eight hundred fifty-six".