985590432 has 36 divisors (see below), whose sum is σ = 2802773610. Its totient is φ = 328530048.

The previous prime is 985590427. The next prime is 985590451. The reversal of 985590432 is 234095589.

985590432 is a `hidden beast` number, since 98 + 559 + 0 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 733543056 + 252047376 = 27084^2 + 15876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1710807 + ... + 1711382.

Almost surely, 2^985590432 is an apocalyptic number.

It is an amenable number.

985590432 is an abundant number, since it is smaller than the sum of its proper divisors (1817183178).

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

985590432 is a wasteful number, since it uses less digits than its factorization.

985590432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422205 (or 3422194 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 985590432 is about 31394.1146076777. The cubic root of 985590432 is about 995.1735535581.

The spelling of 985590432 in words is "nine hundred eighty-five million, five hundred ninety thousand, four hundred thirty-two".