268078664 has 64 divisors (see below), whose sum is σ = 599840640. Its totient is φ = 109923840.

The previous prime is 268078651. The next prime is 268078673. The reversal of 268078664 is 466870862.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120587 + ... + 122789.

It is an arithmetic number, because the mean of its divisors is an integer number (9372510).

Almost surely, 2^268078664 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 268078664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299920320).

268078664 is an abundant number, since it is smaller than the sum of its proper divisors (331761976).

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

268078664 is a wasteful number, since it uses less digits than its factorization.

268078664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The square root of 268078664 is about 16373.1079517604. The cubic root of 268078664 is about 644.7936475083.

The spelling of 268078664 in words is "two hundred sixty-eight million, seventy-eight thousand, six hundred sixty-four".