819506688 has 480 divisors, whose sum is σ = 3019306752. Its totient is φ = 191692800.

The previous prime is 819506683. The next prime is 819506719. The reversal of 819506688 is 886605918.

It is a self number, because there is not a number n which added to its sum of digits gives 819506688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819506683) 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 47 ways as a sum of consecutive naturals, for example, 19987948 + ... + 19987988.

Almost surely, 2^819506688 is an apocalyptic number.

819506688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509653376).

819506688 is an abundant number, since it is smaller than the sum of its proper divisors (2199800064).

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

819506688 is a wasteful number, since it uses less digits than its factorization.

819506688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The square root of 819506688 is about 28627.0272295256. The cubic root of 819506688 is about 935.8024274348.

The spelling of 819506688 in words is "eight hundred nineteen million, five hundred six thousand, six hundred eighty-eight".