268057600 has 132 divisors (see below), whose sum is σ = 684827944. Its totient is φ = 103956480.

The previous prime is 268057597. The next prime is 268057619. The reversal of 268057600 is 6750862.

268057600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 947059 + ... + 947341.

Almost surely, 2^268057600 is an apocalyptic number.

268057600 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 268057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342413972).

268057600 is an abundant number, since it is smaller than the sum of its proper divisors (416770344).

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

268057600 is a wasteful number, since it uses less digits than its factorization.

268057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 268057600 is about 16372.4646892275. The cubic root of 268057600 is about 644.7767590709.

The spelling of 268057600 in words is "two hundred sixty-eight million, fifty-seven thousand, six hundred".