268975872 has 108 divisors (see below), whose sum is σ = 846105624. Its totient is φ = 81500160.

The previous prime is 268975789. The next prime is 268975909. The reversal of 268975872 is 278579862.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20038 + ... + 30650.

Almost surely, 2^268975872 is an apocalyptic number.

268975872 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 268975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423052812).

268975872 is an abundant number, since it is smaller than the sum of its proper divisors (577129752).

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

268975872 is a wasteful number, since it uses less digits than its factorization.

268975872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10646 (or 10629 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 268975872 is about 16400.4838953002. The cubic root of 268975872 is about 645.5121801654.

The spelling of 268975872 in words is "two hundred sixty-eight million, nine hundred seventy-five thousand, eight hundred seventy-two".