819268992 has 160 divisors (see below), whose sum is σ = 2517768000. Its totient is φ = 264176640.

The previous prime is 819268973. The next prime is 819268997. The reversal of 819268992 is 299862918.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819268997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 320134 + ... + 322682.

It is an arithmetic number, because the mean of its divisors is an integer number (15736050).

Almost surely, 2^819268992 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 819268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258884000).

819268992 is an abundant number, since it is smaller than the sum of its proper divisors (1698499008).

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

819268992 is a wasteful number, since it uses less digits than its factorization.

819268992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2585 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 819268992 is about 28622.8753272623. The cubic root of 819268992 is about 935.7119429168.

The spelling of 819268992 in words is "eight hundred nineteen million, two hundred sixty-eight thousand, nine hundred ninety-two".