268684200 has 72 divisors (see below), whose sum is σ = 902337150. Its totient is φ = 71648640.

The previous prime is 268684181. The next prime is 268684249. The reversal of 268684200 is 2486862.

It can be written as a sum of positive squares in 3 ways, for example, as 207187236 + 61496964 = 14394^2 + 7842^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72835 + ... + 76434.

Almost surely, 2^268684200 is an apocalyptic number.

268684200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268684200 is an abundant number, since it is smaller than the sum of its proper divisors (633652950).

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

268684200 is a wasteful number, since it uses less digits than its factorization.

268684200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149291 (or 149279 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 268684200 is about 16391.5893067146. The cubic root of 268684200 is about 645.2787689885.

The spelling of 268684200 in words is "two hundred sixty-eight million, six hundred eighty-four thousand, two hundred".