85581320 has 128 divisors (see below), whose sum is σ = 229392000. Its totient is φ = 28385280.

The previous prime is 85581319. The next prime is 85581323. The reversal of 85581320 is 2318558.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85581323) 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, 242264 + ... + 242616.

It is an arithmetic number, because the mean of its divisors is an integer number (1792125).

Almost surely, 2^85581320 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 85581320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114696000).

85581320 is an abundant number, since it is smaller than the sum of its proper divisors (143810680).

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

85581320 is a wasteful number, since it uses less digits than its factorization.

85581320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 85581320 is about 9251.0172413632. The cubic root of 85581320 is about 440.6830300648.

Adding to 85581320 its reverse (2318558), we get a palindrome (87899878).

The spelling of 85581320 in words is "eighty-five million, five hundred eighty-one thousand, three hundred twenty".