85793856 has 56 divisors (see below), whose sum is σ = 231306624. Its totient is φ = 28055040.

The previous prime is 85793837. The next prime is 85793879. The reversal of 85793856 is 65839758.

It is a junction number, because it is equal to n+sod(n) for n = 85793799 and 85793808.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5961 + ... + 14391.

Almost surely, 2^85793856 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 85793856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115653312).

85793856 is an abundant number, since it is smaller than the sum of its proper divisors (145512768).

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

85793856 is a wasteful number, since it uses less digits than its factorization.

85793856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8499 (or 8489 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 85793856 is about 9262.4972874490. The cubic root of 85793856 is about 441.0475316542.

The spelling of 85793856 in words is "eighty-five million, seven hundred ninety-three thousand, eight hundred fifty-six".