831849984 has 480 divisors, whose sum is σ = 3056429376. Its totient is φ = 212336640.

The previous prime is 831849983. The next prime is 831850003. The reversal of 831849984 is 489948138.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 831849984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831849983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20289004 + ... + 20289044.

Almost surely, 2^831849984 is an apocalyptic number.

831849984 is a gapful number since it is divisible by the number (84) 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 831849984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528214688).

831849984 is an abundant number, since it is smaller than the sum of its proper divisors (2224579392).

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

831849984 is a wasteful number, since it uses less digits than its factorization.

831849984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 831849984 is about 28841.8096519619. The cubic root of 831849984 is about 940.4773431929.

The spelling of 831849984 in words is "eight hundred thirty-one million, eight hundred forty-nine thousand, nine hundred eighty-four".