85083768 has 192 divisors, whose sum is σ = 292032000. Its totient is φ = 21738240.

The previous prime is 85083749. The next prime is 85083811. The reversal of 85083768 is 86738058.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570958 + ... + 571106.

It is an arithmetic number, because the mean of its divisors is an integer number (1521000).

Almost surely, 2^85083768 is an apocalyptic number.

85083768 is a gapful number since it is divisible by the number (88) 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 85083768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146016000).

85083768 is an abundant number, since it is smaller than the sum of its proper divisors (206948232).

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

85083768 is a wasteful number, since it uses less digits than its factorization.

85083768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 85083768 is about 9224.0862962138. The cubic root of 85083768 is about 439.8273565109.

The spelling of 85083768 in words is "eighty-five million, eighty-three thousand, seven hundred sixty-eight".