268075440 has 160 divisors (see below), whose sum is σ = 935654400. Its totient is φ = 70536960.

The previous prime is 268075421. The next prime is 268075453. The reversal of 268075440 is 44570862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 268075395 and 268075404.

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, 169855 + ... + 171425.

It is an arithmetic number, because the mean of its divisors is an integer number (5847840).

Almost surely, 2^268075440 is an apocalyptic number.

268075440 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 268075440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467827200).

268075440 is an abundant number, since it is smaller than the sum of its proper divisors (667578960).

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

268075440 is a wasteful number, since it uses less digits than its factorization.

268075440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 268075440 is about 16373.0094973404. The cubic root of 268075440 is about 644.7910626662.

The spelling of 268075440 in words is "two hundred sixty-eight million, seventy-five thousand, four hundred forty".