268330320 has 280 divisors, whose sum is σ = 966072096. Its totient is φ = 69237504.

The previous prime is 268330297. The next prime is 268330333. The reversal of 268330320 is 23033862.

268330320 is a `hidden beast` number, since 2 + 6 + 8 + 330 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2507707 + ... + 2507813.

Almost surely, 2^268330320 is an apocalyptic number.

268330320 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 268330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483036048).

268330320 is an abundant number, since it is smaller than the sum of its proper divisors (697741776).

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

268330320 is a wasteful number, since it uses less digits than its factorization.

268330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 268330320 is about 16380.7911896831. The cubic root of 268330320 is about 644.9953488037.

The spelling of 268330320 in words is "two hundred sixty-eight million, three hundred thirty thousand, three hundred twenty".