85621860 has 120 divisors (see below), whose sum is σ = 284490360. Its totient is φ = 21482496.

The previous prime is 85621831. The next prime is 85621883. The reversal of 85621860 is 6812658.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7193124 + 78428736 = 2682^2 + 8856^2 .

It is a super-2 number, since 2×85621860² = 14662205819719200, which contains 22 as substring.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 25986 + ... + 29094.

It is an arithmetic number, because the mean of its divisors is an integer number (2370753).

Almost surely, 2^85621860 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 85621860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142245180).

85621860 is an abundant number, since it is smaller than the sum of its proper divisors (198868500).

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

85621860 is a wasteful number, since it uses less digits than its factorization.

85621860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85621860 is about 9253.2080923321. The cubic root of 85621860 is about 440.7526031517.

The spelling of 85621860 in words is "eighty-five million, six hundred twenty-one thousand, eight hundred sixty".