814105984 has 32 divisors (see below), whose sum is σ = 1625086440. Its totient is φ = 406241280.

The previous prime is 814105933. The next prime is 814106021. The reversal of 814105984 is 489501418.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60864 + ... + 73024.

Almost surely, 2^814105984 is an apocalyptic number.

It is an amenable number.

814105984 is a deficient number, since it is larger than the sum of its proper divisors (810980456).

814105984 is a wasteful number, since it uses less digits than its factorization.

814105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12698 (or 12686 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 814105984 is about 28532.5425435589. The cubic root of 814105984 is about 933.7421900308.

The spelling of 814105984 in words is "eight hundred fourteen million, one hundred five thousand, nine hundred eighty-four".