85682792 has 32 divisors (see below), whose sum is σ = 174976200. Its totient is φ = 39097344.

The previous prime is 85682783. The next prime is 85682813. The reversal of 85682792 is 29728658.

It can be written as a sum of positive squares in 4 ways, for example, as 23367556 + 62315236 = 4834^2 + 7894^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4628 + ... + 13884.

Almost surely, 2^85682792 is an apocalyptic number.

It is a pronic number, being equal to 9256×9257.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85682792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87488100).

85682792 is an abundant number, since it is smaller than the sum of its proper divisors (89293408).

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

85682792 is a wasteful number, since it uses less digits than its factorization.

85682792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9365 (or 9361 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 85682792 is about 9256.4999864960. The cubic root of 85682792 is about 440.8571308566.

The spelling of 85682792 in words is "eighty-five million, six hundred eighty-two thousand, seven hundred ninety-two".