85579936 has 24 divisors (see below), whose sum is σ = 181446804. Its totient is φ = 39498240.

The previous prime is 85579909. The next prime is 85579939. The reversal of 85579936 is 63997558.

It can be written as a sum of positive squares in 2 ways, for example, as 85008400 + 571536 = 9220^2 + 756^2 .

It is a super-3 number, since 3×85579936³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (85579939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102445 + ... + 103276.

Almost surely, 2^85579936 is an apocalyptic number.

It is an amenable number.

85579936 is an abundant number, since it is smaller than the sum of its proper divisors (95866868).

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

85579936 is a wasteful number, since it uses less digits than its factorization.

85579936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205744 (or 205736 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 52.

The square root of 85579936 is about 9250.9424384762. The cubic root of 85579936 is about 440.6806545129.

The spelling of 85579936 in words is "eighty-five million, five hundred seventy-nine thousand, nine hundred thirty-six".