268019904 has 56 divisors (see below), whose sum is σ = 713323440. Its totient is φ = 88812544.

The previous prime is 268019891. The next prime is 268019929. The reversal of 268019904 is 409910862.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29182 + ... + 37250.

Almost surely, 2^268019904 is an apocalyptic number.

268019904 is a gapful number since it is divisible by the number (24) 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 268019904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356661720).

268019904 is an abundant number, since it is smaller than the sum of its proper divisors (445303536).

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

268019904 is a wasteful number, since it uses less digits than its factorization.

268019904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 268019904 is about 16371.3134476132. The cubic root of 268019904 is about 644.7465334228.

The spelling of 268019904 in words is "two hundred sixty-eight million, nineteen thousand, nine hundred four".