268984320 has 224 divisors, whose sum is σ = 943660800. Its totient is φ = 64880640.

The previous prime is 268984283. The next prime is 268984343. The reversal of 268984320 is 23489862.

It is a congruent number.

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, 1351581 + ... + 1351779.

Almost surely, 2^268984320 is an apocalyptic number.

268984320 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 268984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471830400).

268984320 is an abundant number, since it is smaller than the sum of its proper divisors (674676480).

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

268984320 is a wasteful number, since it uses less digits than its factorization.

268984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 268984320 is about 16400.7414466542. The cubic root of 268984320 is about 645.5189381815.

The spelling of 268984320 in words is "two hundred sixty-eight million, nine hundred eighty-four thousand, three hundred twenty".