85584620 has 96 divisors (see below), whose sum is σ = 204906240. Its totient is φ = 29756160.

The previous prime is 85584601. The next prime is 85584623. The reversal of 85584620 is 2648558.

It is not an unprimeable number, because it can be changed into a prime (85584623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785126 + ... + 785234.

It is an arithmetic number, because the mean of its divisors is an integer number (2134440).

Almost surely, 2^85584620 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 85584620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102453120).

85584620 is an abundant number, since it is smaller than the sum of its proper divisors (119321620).

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

85584620 is a wasteful number, since it uses less digits than its factorization.

85584620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 85584620 is about 9251.1955984078. The cubic root of 85584620 is about 440.6886942110.

The spelling of 85584620 in words is "eighty-five million, five hundred eighty-four thousand, six hundred twenty".