85218112 has 56 divisors (see below), whose sum is σ = 194356736. Its totient is φ = 36315648.

The previous prime is 85218073. The next prime is 85218113. The reversal of 85218112 is 21181258.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×85218112² = 14524253225689088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85218113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99478 + ... + 100330.

It is an arithmetic number, because the mean of its divisors is an integer number (3470656).

Almost surely, 2^85218112 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 85218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97178368).

85218112 is an abundant number, since it is smaller than the sum of its proper divisors (109138624).

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

85218112 is a wasteful number, since it uses less digits than its factorization.

85218112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1085 counting only the distinct ones).

The product of its digits is 1280, while the sum is 28.

The square root of 85218112 is about 9231.3656627825. The cubic root of 85218112 is about 440.0587249442.

The spelling of 85218112 in words is "eighty-five million, two hundred eighteen thousand, one hundred twelve".