85571712 has 96 divisors (see below), whose sum is σ = 250614000. Its totient is φ = 28018176.

The previous prime is 85571701. The next prime is 85571719. The reversal of 85571712 is 21717558.

85571712 is a `hidden beast` number, since 85 + 571 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×85571712² = 14645035789221888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (85571719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67339 + ... + 68597.

Almost surely, 2^85571712 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 85571712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125307000).

85571712 is an abundant number, since it is smaller than the sum of its proper divisors (165042288).

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

85571712 is a wasteful number, since it uses less digits than its factorization.

85571712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1323 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

The square root of 85571712 is about 9250.4979325440. The cubic root of 85571712 is about 440.6665379884. Note that the first 3 decimals are identical.

The spelling of 85571712 in words is "eighty-five million, five hundred seventy-one thousand, seven hundred twelve".