262882272 has 96 divisors (see below), whose sum is σ = 731227392. Its totient is φ = 82520064.

The previous prime is 262882267. The next prime is 262882273. The reversal of 262882272 is 272288262.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 262882272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262882273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147048 + ... + 148824.

It is an arithmetic number, because the mean of its divisors is an integer number (7616952).

Almost surely, 2^262882272 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 262882272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365613696).

262882272 is an abundant number, since it is smaller than the sum of its proper divisors (468345120).

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

262882272 is a wasteful number, since it uses less digits than its factorization.

262882272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1872 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 262882272 is about 16213.6446242046. The cubic root of 262882272 is about 640.6002441578.

The spelling of 262882272 in words is "two hundred sixty-two million, eight hundred eighty-two thousand, two hundred seventy-two".