832685616 has 240 divisors, whose sum is σ = 2810236800. Its totient is φ = 235363968.

The previous prime is 832685611. The next prime is 832685627. The reversal of 832685616 is 616586238.

832685616 is a `hidden beast` number, since 8 + 3 + 26 + 8 + 5 + 616 = 666.

It is not an unprimeable number, because it can be changed into a prime (832685611) 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, 2942211 + ... + 2942493.

It is an arithmetic number, because the mean of its divisors is an integer number (11709320).

Almost surely, 2^832685616 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 832685616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405118400).

832685616 is an abundant number, since it is smaller than the sum of its proper divisors (1977551184).

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

832685616 is a wasteful number, since it uses less digits than its factorization.

832685616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 434 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 832685616 is about 28856.2924853488. The cubic root of 832685616 is about 940.7921555468.

The spelling of 832685616 in words is "eight hundred thirty-two million, six hundred eighty-five thousand, six hundred sixteen".