268240896 has 432 divisors, whose sum is σ = 1019556720. Its totient is φ = 69672960.

The previous prime is 268240877. The next prime is 268240919. The reversal of 268240896 is 698042862.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24385531 + ... + 24385541.

It is an arithmetic number, because the mean of its divisors is an integer number (2360085).

Almost surely, 2^268240896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509778360).

268240896 is an abundant number, since it is smaller than the sum of its proper divisors (751315824).

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

268240896 is an equidigital number, since it uses as much as digits as its factorization.

268240896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 268240896 is about 16378.0614237461. The cubic root of 268240896 is about 644.9236902691.

The spelling of 268240896 in words is "two hundred sixty-eight million, two hundred forty thousand, eight hundred ninety-six".