268976900 has 36 divisors (see below), whose sum is σ = 585157860. Its totient is φ = 107318400.

The previous prime is 268976891. The next prime is 268976923. The reversal of 268976900 is 9679862.

It can be written as a sum of positive squares in 6 ways, for example, as 156150016 + 112826884 = 12496^2 + 10622^2 .

It is a super-2 number, since 2×268976900² = 144697145467220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

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, 38906 + ... + 45294.

It is an arithmetic number, because the mean of its divisors is an integer number (16254385).

Almost surely, 2^268976900 is an apocalyptic number.

268976900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268976900 is an abundant number, since it is smaller than the sum of its proper divisors (316180960).

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

268976900 is a wasteful number, since it uses less digits than its factorization.

268976900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6824 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 268976900 is about 16400.5152358089. The cubic root of 268976900 is about 645.5130025263.

The spelling of 268976900 in words is "two hundred sixty-eight million, nine hundred seventy-six thousand, nine hundred".