268776816 has 160 divisors (see below), whose sum is σ = 874277376. Its totient is φ = 69696000.

The previous prime is 268776803. The next prime is 268776847. The reversal of 268776816 is 618677862.

It is a nude number because it is divisible by every one of its digits.

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, 446916 + ... + 447516.

Almost surely, 2^268776816 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 268776816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437138688).

268776816 is an abundant number, since it is smaller than the sum of its proper divisors (605500560).

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

268776816 is a wasteful number, since it uses less digits than its factorization.

268776816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 624 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 268776816 is about 16394.4141706863. The cubic root of 268776816 is about 645.3529034469.

The spelling of 268776816 in words is "two hundred sixty-eight million, seven hundred seventy-six thousand, eight hundred sixteen".