268658320 has 160 divisors (see below), whose sum is σ = 752094720. Its totient is φ = 87306240.

The previous prime is 268658317. The next prime is 268658387. The reversal of 268658320 is 23856862.

268658320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152924 + ... + 1153156.

It is an arithmetic number, because the mean of its divisors is an integer number (4700592).

Almost surely, 2^268658320 is an apocalyptic number.

268658320 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 268658320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376047360).

268658320 is an abundant number, since it is smaller than the sum of its proper divisors (483436400).

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

268658320 is a wasteful number, since it uses less digits than its factorization.

268658320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 268658320 is about 16390.7998584572. The cubic root of 268658320 is about 645.2580503025.

The spelling of 268658320 in words is "two hundred sixty-eight million, six hundred fifty-eight thousand, three hundred twenty".