85601712 has 80 divisors (see below), whose sum is σ = 255197952. Its totient is φ = 24218880.

The previous prime is 85601701. The next prime is 85601717. The reversal of 85601712 is 21710658.

It is a self number, because there is not a number n which added to its sum of digits gives 85601712.

It is not an unprimeable number, because it can be changed into a prime (85601717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34762 + ... + 37142.

Almost surely, 2^85601712 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 85601712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127598976).

85601712 is an abundant number, since it is smaller than the sum of its proper divisors (169596240).

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

85601712 is a wasteful number, since it uses less digits than its factorization.

85601712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 85601712 is about 9252.1193247818. The cubic root of 85601712 is about 440.7180287253.

The spelling of 85601712 in words is "eighty-five million, six hundred one thousand, seven hundred twelve".