85766112 has 72 divisors (see below), whose sum is σ = 245319984. Its totient is φ = 28422144.

The previous prime is 85766053. The next prime is 85766147. The reversal of 85766112 is 21166758.

It is a tau number, because it is divible by the number of its divisors (72).

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

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, 54813 + ... + 56355.

It is an arithmetic number, because the mean of its divisors is an integer number (3407222).

Almost surely, 2^85766112 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 85766112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122659992).

85766112 is an abundant number, since it is smaller than the sum of its proper divisors (159553872).

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

85766112 is a wasteful number, since it uses less digits than its factorization.

85766112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1741 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 85766112 is about 9260.9995140913. Note that the first 3 decimals coincide. The cubic root of 85766112 is about 440.9999845743. Note that the first 4 decimals are identical.

The spelling of 85766112 in words is "eighty-five million, seven hundred sixty-six thousand, one hundred twelve".