268096080 has 320 divisors, whose sum is σ = 1031362560. Its totient is φ = 56236032.

The previous prime is 268096079. The next prime is 268096109. The reversal of 268096080 is 80690862.

It is a super-2 number, since 2×268096080² = 143751016222732800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1180927 + ... + 1181153.

It is an arithmetic number, because the mean of its divisors is an integer number (3223008).

Almost surely, 2^268096080 is an apocalyptic number.

268096080 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 268096080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515681280).

268096080 is an abundant number, since it is smaller than the sum of its proper divisors (763266480).

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

268096080 is a wasteful number, since it uses less digits than its factorization.

268096080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 268096080 is about 16373.6397908345. The cubic root of 268096080 is about 644.8076104285.

The spelling of 268096080 in words is "two hundred sixty-eight million, ninety-six thousand, eighty".