85869564 has 48 divisors (see below), whose sum is σ = 223243776. Its totient is φ = 25465600.

The previous prime is 85869547. The next prime is 85869571. The reversal of 85869564 is 46596858.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717 + ... + 13124.

It is an arithmetic number, because the mean of its divisors is an integer number (4650912).

Almost surely, 2^85869564 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 85869564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111621888).

85869564 is an abundant number, since it is smaller than the sum of its proper divisors (137374212).

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

85869564 is a wasteful number, since it uses less digits than its factorization.

85869564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13906 (or 13904 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 85869564 is about 9266.5831890724. The cubic root of 85869564 is about 441.1772262931.

The spelling of 85869564 in words is "eighty-five million, eight hundred sixty-nine thousand, five hundred sixty-four".