268517700 has 144 divisors (see below), whose sum is σ = 941814720. Its totient is φ = 65088000.

The previous prime is 268517687. The next prime is 268517729. The reversal of 268517700 is 7715862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25180 + ... + 34220.

It is an arithmetic number, because the mean of its divisors is an integer number (6540380).

Almost surely, 2^268517700 is an apocalyptic number.

268517700 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 268517700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470907360).

268517700 is an abundant number, since it is smaller than the sum of its proper divisors (673297020).

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

268517700 is a wasteful number, since it uses less digits than its factorization.

268517700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9075 (or 9062 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 268517700 is about 16386.5096954782. The cubic root of 268517700 is about 645.1454512429.

The spelling of 268517700 in words is "two hundred sixty-eight million, five hundred seventeen thousand, seven hundred".