268945920 has 200 divisors, whose sum is σ = 964022004. Its totient is φ = 71663616.

The previous prime is 268945861. The next prime is 268945961. The reversal of 268945920 is 29549862.

It can be written as a sum of positive squares in 2 ways, for example, as 246364416 + 22581504 = 15696^2 + 4752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206712 + ... + 208008.

Almost surely, 2^268945920 is an apocalyptic number.

268945920 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 268945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482011002).

268945920 is an abundant number, since it is smaller than the sum of its proper divisors (695076084).

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

268945920 is an equidigital number, since it uses as much as digits as its factorization.

268945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 268945920 is about 16399.5707260891. The cubic root of 268945920 is about 645.4882187863.

The spelling of 268945920 in words is "two hundred sixty-eight million, nine hundred forty-five thousand, nine hundred twenty".