268633280 has 56 divisors (see below), whose sum is σ = 643877808. Its totient is φ = 106748928.

The previous prime is 268633273. The next prime is 268633297. The reversal of 268633280 is 82336862.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47567 + ... + 52913.

It is an arithmetic number, because the mean of its divisors is an integer number (11497818).

Almost surely, 2^268633280 is an apocalyptic number.

268633280 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 268633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321938904).

268633280 is an abundant number, since it is smaller than the sum of its proper divisors (375244528).

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

268633280 is a wasteful number, since it uses less digits than its factorization.

268633280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5521 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 268633280 is about 16390.0359975200. The cubic root of 268633280 is about 645.2380028266.

The spelling of 268633280 in words is "two hundred sixty-eight million, six hundred thirty-three thousand, two hundred eighty".