85586500 has 48 divisors (see below), whose sum is σ = 197935920. Its totient is φ = 32217600.

The previous prime is 85586497. The next prime is 85586531. The reversal of 85586500 is 568558.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 26234884 + 59351616 = 5122^2 + 7704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85586500.

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, 3466 + ... + 13534.

It is an arithmetic number, because the mean of its divisors is an integer number (4123665).

Almost surely, 2^85586500 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 85586500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98967960).

85586500 is an abundant number, since it is smaller than the sum of its proper divisors (112349420).

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

85586500 is a wasteful number, since it uses less digits than its factorization.

85586500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10105 (or 10093 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 85586500 is about 9251.2972063381. The cubic root of 85586500 is about 440.6919209927.

The spelling of 85586500 in words is "eighty-five million, five hundred eighty-six thousand, five hundred".