268800 has 120 divisors (see below), whose sum is σ = 1014816. Its totient is φ = 61440.

The previous prime is 268789. The next prime is 268811. The reversal of 268800 is 8862.

It is an interprime number because it is at equal distance from previous prime (268789) and next prime (268811).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 100 × 28 × 96.

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, 38397 + ... + 38403.

2²⁶⁸⁸⁰⁰ is an apocalyptic number.

268800 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 268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507408).

268800 is an abundant number, since it is smaller than the sum of its proper divisors (746016).

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

268800 is an equidigital number, since it uses as much as digits as its factorization.

268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 268800 is about 518.4592558726. The cubic root of 268800 is about 64.5371458410.

The spelling of 268800 in words is "two hundred sixty-eight thousand, eight hundred".