819967104 has 128 divisors (see below), whose sum is σ = 2640168000. Its totient is φ = 248463360.

The previous prime is 819967087. The next prime is 819967117. The reversal of 819967104 is 401769918.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 819967104.

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, 27232 + ... + 48800.

Almost surely, 2^819967104 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 819967104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320084000).

819967104 is an abundant number, since it is smaller than the sum of its proper divisors (1820200896).

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

819967104 is a wasteful number, since it uses less digits than its factorization.

819967104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21603 (or 21585 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 819967104 is about 28635.0677317166. The cubic root of 819967104 is about 935.9776457515.

The spelling of 819967104 in words is "eight hundred nineteen million, nine hundred sixty-seven thousand, one hundred four".