893268816 has 80 divisors (see below), whose sum is σ = 2521380288. Its totient is φ = 270259200.

The previous prime is 893268781. The next prime is 893268823. The reversal of 893268816 is 618862398.

893268816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538260 + ... + 539916.

Almost surely, 2^893268816 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 893268816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260690144).

893268816 is an abundant number, since it is smaller than the sum of its proper divisors (1628111472).

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

893268816 is a wasteful number, since it uses less digits than its factorization.

893268816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2694 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 893268816 is about 29887.6030487559. The cubic root of 893268816 is about 963.0763637605.

The spelling of 893268816 in words is "eight hundred ninety-three million, two hundred sixty-eight thousand, eight hundred sixteen".