268692900 has 144 divisors (see below), whose sum is σ = 927273984. Its totient is φ = 58734720.

The previous prime is 268692899. The next prime is 268692913. The reversal of 268692900 is 9296862.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 45519 + ... + 51081.

Almost surely, 2^268692900 is an apocalyptic number.

268692900 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 268692900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463636992).

268692900 is an abundant number, since it is smaller than the sum of its proper divisors (658581084).

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

268692900 is a wasteful number, since it uses less digits than its factorization.

268692900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5610 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 268692900 is about 16391.8546845682. The cubic root of 268692900 is about 645.2857336267.

The spelling of 268692900 in words is "two hundred sixty-eight million, six hundred ninety-two thousand, nine hundred".