85290824 has 32 divisors (see below), whose sum is σ = 164467800. Its totient is φ = 41441280.

The previous prime is 85290781. The next prime is 85290851. The reversal of 85290824 is 42809258.

It can be written as a sum of positive squares in 4 ways, for example, as 53728900 + 31561924 = 7330^2 + 5618^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 149612 + ... + 150180.

Almost surely, 2^85290824 is an apocalyptic number.

It is an amenable number.

85290824 is a deficient number, since it is larger than the sum of its proper divisors (79176976).

85290824 is a wasteful number, since it uses less digits than its factorization.

85290824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 85290824 is about 9235.3031352522. The cubic root of 85290824 is about 440.1838487901.

The spelling of 85290824 in words is "eighty-five million, two hundred ninety thousand, eight hundred twenty-four".