268655800 has 96 divisors (see below), whose sum is σ = 719953920. Its totient is φ = 91324800.

The previous prime is 268655789. The next prime is 268655813. The reversal of 268655800 is 8556862.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177045 + ... + 178555.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2^268655800 is an apocalyptic number.

268655800 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 268655800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359976960).

268655800 is an abundant number, since it is smaller than the sum of its proper divisors (451298120).

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

268655800 is a wasteful number, since it uses less digits than its factorization.

268655800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 268655800 is about 16390.7229858844. The cubic root of 268655800 is about 645.2560328014.

The spelling of 268655800 in words is "two hundred sixty-eight million, six hundred fifty-five thousand, eight hundred".