268227840 has 144 divisors (see below), whose sum is σ = 894192768. Its totient is φ = 68395008.

The previous prime is 268227833. The next prime is 268227857. The reversal of 268227840 is 48722862.

It is a congruent number.

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, 86802 + ... + 89838.

It is an arithmetic number, because the mean of its divisors is an integer number (6209672).

Almost surely, 2^268227840 is an apocalyptic number.

268227840 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 268227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447096384).

268227840 is an abundant number, since it is smaller than the sum of its proper divisors (625964928).

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

268227840 is a wasteful number, since it uses less digits than its factorization.

268227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 268227840 is about 16377.6628369252. The cubic root of 268227840 is about 644.9132267138.

The spelling of 268227840 in words is "two hundred sixty-eight million, two hundred twenty-seven thousand, eight hundred forty".