85617260 has 72 divisors (see below), whose sum is σ = 191464560. Its totient is φ = 32138496.

The previous prime is 85617241. The next prime is 85617269. The reversal of 85617260 is 6271658.

It is a self number, because there is not a number n which added to its sum of digits gives 85617260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85617269) 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 23 ways as a sum of consecutive naturals, for example, 1451111 + ... + 1451169.

It is an arithmetic number, because the mean of its divisors is an integer number (2659230).

Almost surely, 2^85617260 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 85617260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95732280).

85617260 is an abundant number, since it is smaller than the sum of its proper divisors (105847300).

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

85617260 is a wasteful number, since it uses less digits than its factorization.

85617260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 85617260 is about 9252.9595265515. The cubic root of 85617260 is about 440.7447099249.

The spelling of 85617260 in words is "eighty-five million, six hundred seventeen thousand, two hundred sixty".