268345920 has 224 divisors, whose sum is σ = 898891776. Its totient is φ = 67737600.

The previous prime is 268345897. The next prime is 268345933. The reversal of 268345920 is 29543862.

It is a happy 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, 2112897 + ... + 2113023.

Almost surely, 2^268345920 is an apocalyptic number.

268345920 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 268345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449445888).

268345920 is an abundant number, since it is smaller than the sum of its proper divisors (630545856).

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

268345920 is a wasteful number, since it uses less digits than its factorization.

268345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 268345920 is about 16381.2673502388. The cubic root of 268345920 is about 645.0078479906.

The spelling of 268345920 in words is "two hundred sixty-eight million, three hundred forty-five thousand, nine hundred twenty".