268875840 has 112 divisors (see below), whose sum is σ = 898672320. Its totient is φ = 67921920.

The previous prime is 268875811. The next prime is 268875877. The reversal of 268875840 is 48578862.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 268875840.

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, 10870 + ... + 25610.

It is an arithmetic number, because the mean of its divisors is an integer number (8023860).

Almost surely, 2^268875840 is an apocalyptic number.

268875840 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 268875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449336160).

268875840 is an abundant number, since it is smaller than the sum of its proper divisors (629796480).

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

268875840 is a wasteful number, since it uses less digits than its factorization.

268875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14780 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 268875840 is about 16397.4339455904. The cubic root of 268875840 is about 645.4321483515.

The spelling of 268875840 in words is "two hundred sixty-eight million, eight hundred seventy-five thousand, eight hundred forty".