85579578 has 60 divisors (see below), whose sum is σ = 223090362. Its totient is φ = 24449040.

The previous prime is 85579541. The next prime is 85579583. The reversal of 85579578 is 87597558.

It can be written as a sum of positive squares in only one way, i.e., 78907689 + 6671889 = 8883^2 + 2583^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2548 + ... + 13328.

Almost surely, 2^85579578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85579578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111545181).

85579578 is an abundant number, since it is smaller than the sum of its proper divisors (137510784).

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

85579578 is a wasteful number, since it uses less digits than its factorization.

85579578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10809 (or 10793 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 54.

The square root of 85579578 is about 9250.9230890760. The cubic root of 85579578 is about 440.6800400235.

The spelling of 85579578 in words is "eighty-five million, five hundred seventy-nine thousand, five hundred seventy-eight".