819716832 has 144 divisors (see below), whose sum is σ = 2553668208. Its totient is φ = 247357440.

The previous prime is 819716831. The next prime is 819716837. The reversal of 819716832 is 238617918.

819716832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819716831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117938 + ... + 1118670.

It is an arithmetic number, because the mean of its divisors is an integer number (17733807).

Almost surely, 2^819716832 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 819716832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276834104).

819716832 is an abundant number, since it is smaller than the sum of its proper divisors (1733951376).

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

819716832 is a wasteful number, since it uses less digits than its factorization.

819716832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 819716832 is about 28630.6973718769. The cubic root of 819716832 is about 935.8824090715.

The spelling of 819716832 in words is "eight hundred nineteen million, seven hundred sixteen thousand, eight hundred thirty-two".