268890804 has 144 divisors (see below), whose sum is σ = 842674560. Its totient is φ = 70398720.

The previous prime is 268890781. The next prime is 268890821. The reversal of 268890804 is 408098862.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 268890804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691042 + ... + 691430.

Almost surely, 2^268890804 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 268890804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421337280).

268890804 is an abundant number, since it is smaller than the sum of its proper divisors (573783756).

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

268890804 is a wasteful number, since it uses less digits than its factorization.

268890804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 268890804 is about 16397.8902301485. The cubic root of 268890804 is about 645.4441217435. Note that the first 3 decimals are identical.

The spelling of 268890804 in words is "two hundred sixty-eight million, eight hundred ninety thousand, eight hundred four".