85601670 has 64 divisors (see below), whose sum is σ = 256144896. Its totient is φ = 17786880.

The previous prime is 85601657. The next prime is 85601687. The reversal of 85601670 is 7610658.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16219 + ... + 20838.

It is an arithmetic number, because the mean of its divisors is an integer number (4002264).

Almost surely, 2^85601670 is an apocalyptic number.

85601670 is an abundant number, since it is smaller than the sum of its proper divisors (170543226).

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

85601670 is a wasteful number, since it uses less digits than its factorization.

85601670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37085.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 85601670 is about 9252.1170550312. The cubic root of 85601670 is about 440.7179566467.

It can be divided in two parts, 856016 and 70, that added together give a triangular number (856086 = T₁₃₀₈).

The spelling of 85601670 in words is "eighty-five million, six hundred one thousand, six hundred seventy".