813685824 has 280 divisors, whose sum is σ = 2920959360. Its totient is φ = 218640384.

The previous prime is 813685801. The next prime is 813685837. The reversal of 813685824 is 428586318.

813685824 is a `hidden beast` number, since 8 + 1 + 3 + 68 + 582 + 4 = 666.

813685824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 813685824.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 616237 + ... + 617555.

Almost surely, 2^813685824 is an apocalyptic number.

813685824 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 813685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460479680).

813685824 is an abundant number, since it is smaller than the sum of its proper divisors (2107273536).

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

813685824 is a wasteful number, since it uses less digits than its factorization.

813685824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1348 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 813685824 is about 28525.1787724459. The cubic root of 813685824 is about 933.5815276445.

The spelling of 813685824 in words is "eight hundred thirteen million, six hundred eighty-five thousand, eight hundred twenty-four".