268513200 has 90 divisors (see below), whose sum is σ = 931827884. Its totient is φ = 71602560.

The previous prime is 268513177. The next prime is 268513207. The reversal of 268513200 is 2315862.

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (268513207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33694 + ... + 40893.

Almost surely, 2^268513200 is an apocalyptic number.

268513200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268513200 is an abundant number, since it is smaller than the sum of its proper divisors (663314684).

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

268513200 is a wasteful number, since it uses less digits than its factorization.

268513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74611 (or 74597 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 268513200 is about 16386.3723868341. The cubic root of 268513200 is about 645.1418472958.

The spelling of 268513200 in words is "two hundred sixty-eight million, five hundred thirteen thousand, two hundred".