268172800 has 240 divisors, whose sum is σ = 788512032. Its totient is φ = 88473600.

The previous prime is 268172777. The next prime is 268172803. The reversal of 268172800 is 8271862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268172803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3673564 + ... + 3673636.

Almost surely, 2^268172800 is an apocalyptic number.

268172800 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 268172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394256016).

268172800 is an abundant number, since it is smaller than the sum of its proper divisors (520339232).

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

268172800 is an equidigital number, since it uses as much as digits as its factorization.

268172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 268172800 is about 16375.9824132783. The cubic root of 268172800 is about 644.8691119143.

The spelling of 268172800 in words is "two hundred sixty-eight million, one hundred seventy-two thousand, eight hundred".