268958800 has 90 divisors (see below), whose sum is σ = 710384654. Its totient is φ = 97785600.

The previous prime is 268958783. The next prime is 268958827. The reversal of 268958800 is 8859862.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 66977856 + 201980944 = 8184^2 + 14212^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45622 + ... + 51178.

Almost surely, 2^268958800 is an apocalyptic number.

268958800 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 268958800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355192327).

268958800 is an abundant number, since it is smaller than the sum of its proper divisors (441425854).

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

268958800 is a wasteful number, since it uses less digits than its factorization.

268958800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597 (or 5575 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 268958800 is about 16399.9634145933. The cubic root of 268958800 is about 645.4985229093.

The spelling of 268958800 in words is "two hundred sixty-eight million, nine hundred fifty-eight thousand, eight hundred".