268747072 has 56 divisors (see below), whose sum is σ = 584667360. Its totient is φ = 121551360.

The previous prime is 268747051. The next prime is 268747139. The reversal of 268747072 is 270747862.

It is a congruent 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, 160383 + ... + 162049.

Almost surely, 2^268747072 is an apocalyptic number.

268747072 is a gapful number since it is divisible by the number (22) 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 268747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292333680).

268747072 is an abundant number, since it is smaller than the sum of its proper divisors (315920288).

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

268747072 is a wasteful number, since it uses less digits than its factorization.

268747072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 43.

The square root of 268747072 is about 16393.5070073490. The cubic root of 268747072 is about 645.3290967248.

The spelling of 268747072 in words is "two hundred sixty-eight million, seven hundred forty-seven thousand, seventy-two".