85386580 has 96 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 30074880.

The previous prime is 85386577. The next prime is 85386583. The reversal of 85386580 is 8568358.

It is an interprime number because it is at equal distance from previous prime (85386577) and next prime (85386583).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85386583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476931 + ... + 477109.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^85386580 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 85386580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

85386580 is an abundant number, since it is smaller than the sum of its proper divisors (117100460).

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

85386580 is a wasteful number, since it uses less digits than its factorization.

85386580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 85386580 is about 9240.4859179591. The cubic root of 85386580 is about 440.3485186356.

The spelling of 85386580 in words is "eighty-five million, three hundred eighty-six thousand, five hundred eighty".