268336320 has 224 divisors, whose sum is σ = 988819968. Its totient is φ = 60383232.

The previous prime is 268336291. The next prime is 268336363. The reversal of 268336320 is 23633862.

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

It is a super-2 number, since 2×268336320² = 144008761262284800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

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, 490287 + ... + 490833.

Almost surely, 2^268336320 is an apocalyptic number.

268336320 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 268336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494409984).

268336320 is an abundant number, since it is smaller than the sum of its proper divisors (720483648).

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

268336320 is a wasteful number, since it uses less digits than its factorization.

268336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 268336320 is about 16380.9743299964. The cubic root of 268336320 is about 645.0001562406. Note that the first 3 decimals are identical.

It can be divided in two parts, 26833 and 6320, that added together give a triangular number (33153 = T₂₅₇).

The spelling of 268336320 in words is "two hundred sixty-eight million, three hundred thirty-six thousand, three hundred twenty".