85078112 has 72 divisors (see below), whose sum is σ = 201670560. Its totient is φ = 35185920.

The previous prime is 85078109. The next prime is 85078121. The reversal of 85078112 is 21187058.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44537 + ... + 46407.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^85078112 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 85078112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

85078112 is an abundant number, since it is smaller than the sum of its proper divisors (116592448).

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

85078112 is a wasteful number, since it uses less digits than its factorization.

85078112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 85078112 is about 9223.7797024864. The cubic root of 85078112 is about 439.8176103564.

The spelling of 85078112 in words is "eighty-five million, seventy-eight thousand, one hundred twelve".