85813956 has 72 divisors (see below), whose sum is σ = 230630400. Its totient is φ = 26827200.

The previous prime is 85813951. The next prime is 85813957. The reversal of 85813956 is 65931858.

It is not an unprimeable number, because it can be changed into a prime (85813951) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 73981 + ... + 75131.

It is an arithmetic number, because the mean of its divisors is an integer number (3203200).

Almost surely, 2^85813956 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 85813956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115315200).

85813956 is an abundant number, since it is smaller than the sum of its proper divisors (144816444).

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

85813956 is a wasteful number, since it uses less digits than its factorization.

85813956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1284 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 85813956 is about 9263.5822444668. The cubic root of 85813956 is about 441.0819722057.

The spelling of 85813956 in words is "eighty-five million, eight hundred thirteen thousand, nine hundred fifty-six".