268839360 has 336 divisors, whose sum is σ = 1034186400. Its totient is φ = 63922176.

The previous prime is 268839353. The next prime is 268839401. The reversal of 268839360 is 63938862.

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, 14149431 + ... + 14149449.

Almost surely, 2^268839360 is an apocalyptic number.

268839360 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 268839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517093200).

268839360 is an abundant number, since it is smaller than the sum of its proper divisors (765347040).

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

268839360 is a wasteful number, since it uses less digits than its factorization.

268839360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 268839360 is about 16396.3215386867. The cubic root of 268839360 is about 645.4029571460.

The spelling of 268839360 in words is "two hundred sixty-eight million, eight hundred thirty-nine thousand, three hundred sixty".