268435860 has 192 divisors, whose sum is σ = 948326400. Its totient is φ = 55111680.

The previous prime is 268435823. The next prime is 268435873. The reversal of 268435860 is 68534862.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447841 + ... + 448439.

It is an arithmetic number, because the mean of its divisors is an integer number (4939200).

Almost surely, 2^268435860 is an apocalyptic number.

268435860 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 268435860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474163200).

268435860 is an abundant number, since it is smaller than the sum of its proper divisors (679890540).

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

268435860 is a wasteful number, since it uses less digits than its factorization.

268435860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 268435860 is about 16384.0123290969. The cubic root of 268435860 is about 645.0799011646.

The spelling of 268435860 in words is "two hundred sixty-eight million, four hundred thirty-five thousand, eight hundred sixty".