831688704 has 312 divisors, whose sum is σ = 3005376192. Its totient is φ = 215285760.

The previous prime is 831688687. The next prime is 831688723. The reversal of 831688704 is 407886138.

It is a super-2 number, since 2×831688704² = 1383412200722399232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 831688704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2838382 + ... + 2838674.

It is an arithmetic number, because the mean of its divisors is an integer number (9632616).

Almost surely, 2^831688704 is an apocalyptic number.

831688704 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 831688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502688096).

831688704 is an abundant number, since it is smaller than the sum of its proper divisors (2173687488).

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

831688704 is a wasteful number, since it uses less digits than its factorization.

831688704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 831688704 is about 28839.0135753635. The cubic root of 831688704 is about 940.4165590001.

831688704 divided by its product of nonzero digits (258048) gives a palindrome (3223).

It can be divided in two parts, 8316 and 88704, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 831688704 in words is "eight hundred thirty-one million, six hundred eighty-eight thousand, seven hundred four".