268862364 has 72 divisors (see below), whose sum is σ = 733692960. Its totient is φ = 82760832.

The previous prime is 268862353. The next prime is 268862417. The reversal of 268862364 is 463268862.

268862364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18414 + ... + 29610.

It is an arithmetic number, because the mean of its divisors is an integer number (10190180).

Almost surely, 2^268862364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268862364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366846480).

268862364 is an abundant number, since it is smaller than the sum of its proper divisors (464830596).

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

268862364 is a wasteful number, since it uses less digits than its factorization.

268862364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11259 (or 11254 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 268862364 is about 16397.0230224880. The cubic root of 268862364 is about 645.4213651973.

The spelling of 268862364 in words is "two hundred sixty-eight million, eight hundred sixty-two thousand, three hundred sixty-four".