819381696 has 112 divisors (see below), whose sum is σ = 2524621824. Its totient is φ = 229671936.

The previous prime is 819381599. The next prime is 819381713. The reversal of 819381696 is 696183918.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65481 + ... + 76983.

Almost surely, 2^819381696 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 819381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262310912).

819381696 is an abundant number, since it is smaller than the sum of its proper divisors (1705240128).

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

819381696 is a wasteful number, since it uses less digits than its factorization.

819381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11578 (or 11568 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The square root of 819381696 is about 28624.8440345096. The cubic root of 819381696 is about 935.7548485006.

The spelling of 819381696 in words is "eight hundred nineteen million, three hundred eighty-one thousand, six hundred ninety-six".