268245600 has 216 divisors, whose sum is σ = 1016138088. Its totient is φ = 61286400.

The previous prime is 268245577. The next prime is 268245613. The reversal of 268245600 is 6542862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116460 + ... + 118740.

It is an arithmetic number, because the mean of its divisors is an integer number (4704343).

Almost surely, 2^268245600 is an apocalyptic number.

268245600 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 268245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508069044).

268245600 is an abundant number, since it is smaller than the sum of its proper divisors (747892488).

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

268245600 is a wasteful number, since it uses less digits than its factorization.

268245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 268245600 is about 16378.2050298560. The cubic root of 268245600 is about 644.9274601433.

The spelling of 268245600 in words is "two hundred sixty-eight million, two hundred forty-five thousand, six hundred".