819513344 has 48 divisors (see below), whose sum is σ = 1764732060. Its totient is φ = 378224640.

The previous prime is 819513329. The next prime is 819513367. The reversal of 819513344 is 443315918.

It can be written as a sum of positive squares in 2 ways, for example, as 724255744 + 95257600 = 26912^2 + 9760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 819513298 and 819513307.

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, 11234 + ... + 42014.

Almost surely, 2^819513344 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 819513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882366030).

819513344 is an abundant number, since it is smaller than the sum of its proper divisors (945218716).

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

819513344 is a wasteful number, since it uses less digits than its factorization.

819513344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30816 (or 30796 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 819513344 is about 28627.1434830652. The cubic root of 819513344 is about 935.8049609443.

The spelling of 819513344 in words is "eight hundred nineteen million, five hundred thirteen thousand, three hundred forty-four".