85870512 has 120 divisors (see below), whose sum is σ = 295821344. Its totient is φ = 22643712.

The previous prime is 85870501. The next prime is 85870517. The reversal of 85870512 is 21507858.

It is a super-2 number, since 2×85870512² = 14747489662284288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (85870517) 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, 9828 + ... + 16380.

Almost surely, 2^85870512 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 85870512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147910672).

85870512 is an abundant number, since it is smaller than the sum of its proper divisors (209950832).

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

85870512 is a wasteful number, since it uses less digits than its factorization.

85870512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6587 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 85870512 is about 9266.6343404712. The cubic root of 85870512 is about 441.1788498193.

The spelling of 85870512 in words is "eighty-five million, eight hundred seventy thousand, five hundred twelve".