268886900 has 18 divisors (see below), whose sum is σ = 583484790. Its totient is φ = 107554720.

The previous prime is 268886887. The next prime is 268886911. The reversal of 268886900 is 9688862.

It can be written as a sum of positive squares in 3 ways, for example, as 320356 + 268566544 = 566^2 + 16388^2 .

It is a super-2 number, since 2×268886900² = 144600329983220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1344335 + ... + 1344534.

Almost surely, 2^268886900 is an apocalyptic number.

268886900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268886900 is an abundant number, since it is smaller than the sum of its proper divisors (314597890).

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

268886900 is a wasteful number, since it uses less digits than its factorization.

268886900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688883 (or 2688876 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 268886900 is about 16397.7711900124. The cubic root of 268886900 is about 645.4409980145.

The spelling of 268886900 in words is "two hundred sixty-eight million, eight hundred eighty-six thousand, nine hundred".