85985868 has 72 divisors (see below), whose sum is σ = 221211648. Its totient is φ = 25942752.

The previous prime is 85985863. The next prime is 85985869. The reversal of 85985868 is 86858958.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (85985863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99205 + ... + 100067.

It is an arithmetic number, because the mean of its divisors is an integer number (3072384).

Almost surely, 2^85985868 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 85985868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605824).

85985868 is an abundant number, since it is smaller than the sum of its proper divisors (135225780).

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

85985868 is a wasteful number, since it uses less digits than its factorization.

85985868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 910 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 57.

The square root of 85985868 is about 9272.8565178159. The cubic root of 85985868 is about 441.3763171220.

The spelling of 85985868 in words is "eighty-five million, nine hundred eighty-five thousand, eight hundred sixty-eight".