268677920 has 96 divisors (see below), whose sum is σ = 743250816. Its totient is φ = 89856000.

The previous prime is 268677901. The next prime is 268677949. The reversal of 268677920 is 29776862.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42995 + ... + 48845.

It is an arithmetic number, because the mean of its divisors is an integer number (7742196).

Almost surely, 2^268677920 is an apocalyptic number.

268677920 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 268677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371625408).

268677920 is an abundant number, since it is smaller than the sum of its proper divisors (474572896).

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

268677920 is a wasteful number, since it uses less digits than its factorization.

268677920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The square root of 268677920 is about 16391.3977439387. The cubic root of 268677920 is about 645.2737415471.

The spelling of 268677920 in words is "two hundred sixty-eight million, six hundred seventy-seven thousand, nine hundred twenty".