85086540 has 216 divisors, whose sum is σ = 327901392. Its totient is φ = 17660160.

The previous prime is 85086539. The next prime is 85086587. The reversal of 85086540 is 4568058.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85086495 and 85086504.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96582 + ... + 97458.

It is an arithmetic number, because the mean of its divisors is an integer number (1518062).

Almost surely, 2^85086540 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 85086540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163950696).

85086540 is an abundant number, since it is smaller than the sum of its proper divisors (242814852).

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

85086540 is a wasteful number, since it uses less digits than its factorization.

85086540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 85086540 is about 9224.2365537751. The cubic root of 85086540 is about 439.8321329339.

The spelling of 85086540 in words is "eighty-five million, eighty-six thousand, five hundred forty".