85090032 has 60 divisors (see below), whose sum is σ = 252149040. Its totient is φ = 26694144.

The previous prime is 85090003. The next prime is 85090043. The reversal of 85090032 is 23009058.

It is a super-2 number, since 2×85090032² = 14480627091522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85089978 and 85090005.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 14932 + ... + 19827.

It is an arithmetic number, because the mean of its divisors is an integer number (4202484).

Almost surely, 2^85090032 is an apocalyptic number.

It is an amenable number.

85090032 is an abundant number, since it is smaller than the sum of its proper divisors (167059008).

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

85090032 is a wasteful number, since it uses less digits than its factorization.

85090032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34790 (or 34781 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 85090032 is about 9224.4258357905. The cubic root of 85090032 is about 439.8381498385.

The spelling of 85090032 in words is "eighty-five million, ninety thousand, thirty-two".