262816 has 24 divisors (see below), whose sum is σ = 532224. Its totient is φ = 127680.

The previous prime is 262807. The next prime is 262819. The reversal of 262816 is 618262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262819) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1281 + ... + 1471.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2²⁶²⁸¹⁶ 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 262816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112).

262816 is an abundant number, since it is smaller than the sum of its proper divisors (269408).

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

262816 is a wasteful number, since it uses less digits than its factorization.

262816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 262816 is about 512.6558299678. The cubic root of 262816 is about 64.0546408364.

The spelling of 262816 in words is "two hundred sixty-two thousand, eight hundred sixteen".