268636860 has 144 divisors (see below), whose sum is σ = 859753440. Its totient is φ = 67791360.

The previous prime is 268636847. The next prime is 268636919. The reversal of 268636860 is 68636862.

268636860 is a `hidden beast` number, since 2 + 6 + 8 + 636 + 8 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 276175 + ... + 277145.

It is an arithmetic number, because the mean of its divisors is an integer number (5970510).

Almost surely, 2^268636860 is an apocalyptic number.

268636860 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 268636860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429876720).

268636860 is an abundant number, since it is smaller than the sum of its proper divisors (591116580).

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

268636860 is a wasteful number, since it uses less digits than its factorization.

268636860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 268636860 is about 16390.1452098509. The cubic root of 268636860 is about 645.2408691155.

The spelling of 268636860 in words is "two hundred sixty-eight million, six hundred thirty-six thousand, eight hundred sixty".