268975840 has 192 divisors, whose sum is σ = 767950848. Its totient is φ = 87091200.

The previous prime is 268975789. The next prime is 268975909. The reversal of 268975840 is 48579862.

It is a congruent number.

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, 2117857 + ... + 2117983.

It is an arithmetic number, because the mean of its divisors is an integer number (3999744).

Almost surely, 2^268975840 is an apocalyptic number.

268975840 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 268975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383975424).

268975840 is an abundant number, since it is smaller than the sum of its proper divisors (498975008).

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

268975840 is a wasteful number, since it uses less digits than its factorization.

268975840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 268975840 is about 16400.4829197192. The cubic root of 268975840 is about 645.5121545666.

The spelling of 268975840 in words is "two hundred sixty-eight million, nine hundred seventy-five thousand, eight hundred forty".