268837920 has 192 divisors, whose sum is σ = 1013523840. Its totient is φ = 66161664.

The previous prime is 268837909. The next prime is 268837937. The reversal of 268837920 is 29738862.

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 31 ways as a sum of consecutive naturals, for example, 53767 + ... + 58553.

It is an arithmetic number, because the mean of its divisors is an integer number (5278770).

Almost surely, 2^268837920 is an apocalyptic number.

268837920 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 268837920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506761920).

268837920 is an abundant number, since it is smaller than the sum of its proper divisors (744685920).

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

268837920 is a wasteful number, since it uses less digits than its factorization.

268837920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 268837920 is about 16396.2776263395. The cubic root of 268837920 is about 645.4018048074.

The spelling of 268837920 in words is "two hundred sixty-eight million, eight hundred thirty-seven thousand, nine hundred twenty".