85609860 has 144 divisors (see below), whose sum is σ = 286743744. Its totient is φ = 19014912.

The previous prime is 85609859. The next prime is 85609871. The reversal of 85609860 is 6890658.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108387 + ... + 109173.

It is an arithmetic number, because the mean of its divisors is an integer number (1991276).

Almost surely, 2^85609860 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 85609860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143371872).

85609860 is an abundant number, since it is smaller than the sum of its proper divisors (201133884).

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

85609860 is a wasteful number, since it uses less digits than its factorization.

85609860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 85609860 is about 9252.5596458494. The cubic root of 85609860 is about 440.7320115320.

The spelling of 85609860 in words is "eighty-five million, six hundred nine thousand, eight hundred sixty".