268000320 has 224 divisors, whose sum is σ = 1024128000. Its totient is φ = 58005504.

The previous prime is 268000309. The next prime is 268000331. The reversal of 268000320 is 23000862.

It is an interprime number because it is at equal distance from previous prime (268000309) and next prime (268000331).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 126631 + ... + 128729.

It is an arithmetic number, because the mean of its divisors is an integer number (4572000).

Almost surely, 2^268000320 is an apocalyptic number.

268000320 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 268000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064000).

268000320 is an abundant number, since it is smaller than the sum of its proper divisors (756127680).

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

268000320 is a wasteful number, since it uses less digits than its factorization.

With its successor (268000321) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2135).

268000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 268000320 is about 16370.7153172975. The cubic root of 268000320 is about 644.7308293358.

The spelling of 268000320 in words is "two hundred sixty-eight million, three hundred twenty", and thus it is an aban number.