268636800 has 96 divisors (see below), whose sum is σ = 884854080. Its totient is φ = 71633920.

The previous prime is 268636789. The next prime is 268636811. The reversal of 268636800 is 8636862.

It is an interprime number because it is at equal distance from previous prime (268636789) and next prime (268636811).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct 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, 4392 + ... + 23591.

It is an arithmetic number, because the mean of its divisors is an integer number (9217230).

Almost surely, 2^268636800 is an apocalyptic number.

268636800 is a gapful number since it is divisible by the number (20) 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 268636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442427040).

268636800 is an abundant number, since it is smaller than the sum of its proper divisors (616217280).

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

268636800 is a wasteful number, since it uses less digits than its factorization.

268636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28010 (or 27993 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 268636800 is about 16390.1433794827. The cubic root of 268636800 is about 645.2408210773.

The spelling of 268636800 in words is "two hundred sixty-eight million, six hundred thirty-six thousand, eight hundred".