10085868 has 72 divisors (see below), whose sum is σ = 28680288. Its totient is φ = 2965248.

The previous prime is 10085857. The next prime is 10085893. The reversal of 10085868 is 86858001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10296 + ... + 11232.

Almost surely, 2^10085868 is an apocalyptic number.

10085868 is a gapful number since it is divisible by the number (18) 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 10085868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14340144).

10085868 is an abundant number, since it is smaller than the sum of its proper divisors (18594420).

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

10085868 is a wasteful number, since it uses less digits than its factorization.

10085868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 10085868 is about 3175.8255619602. The cubic root of 10085868 is about 216.0583689994.

The spelling of 10085868 in words is "ten million, eighty-five thousand, eight hundred sixty-eight".