85890579 has 32 divisors (see below), whose sum is σ = 130014720. Its totient is φ = 50130432.

The previous prime is 85890569. The next prime is 85890593. The reversal of 85890579 is 97509858.

It is not a de Polignac number, because 85890579 - 2⁷ = 85890451 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (85890529) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42412 + ... + 44390.

It is an arithmetic number, because the mean of its divisors is an integer number (4062960).

Almost surely, 2^85890579 is an apocalyptic number.

85890579 is a deficient number, since it is larger than the sum of its proper divisors (44124141).

85890579 is a wasteful number, since it uses less digits than its factorization.

85890579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059.

The product of its (nonzero) digits is 907200, while the sum is 51.

The square root of 85890579 is about 9267.7170327972. The cubic root of 85890579 is about 441.2132133676.

The spelling of 85890579 in words is "eighty-five million, eight hundred ninety thousand, five hundred seventy-nine".