85186520 has 64 divisors (see below), whose sum is σ = 198374400. Its totient is φ = 32901120.

The previous prime is 85186447. The next prime is 85186537. The reversal of 85186520 is 2568158.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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, 208076 + ... + 208484.

It is an arithmetic number, because the mean of its divisors is an integer number (3099600).

Almost surely, 2^85186520 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 85186520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99187200).

85186520 is an abundant number, since it is smaller than the sum of its proper divisors (113187880).

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

85186520 is a wasteful number, since it uses less digits than its factorization.

85186520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 85186520 is about 9229.6543813948. The cubic root of 85186520 is about 440.0043388002.

The spelling of 85186520 in words is "eighty-five million, one hundred eighty-six thousand, five hundred twenty".