90085384 has 24 divisors (see below), whose sum is σ = 178273710. Its totient is φ = 42670656.

The previous prime is 90085381. The next prime is 90085399. The reversal of 90085384 is 48358009.

It can be written as a sum of positive squares in only one way, i.e., 77053284 + 13032100 = 8778^2 + 3610^2 .

It is not an unprimeable number, because it can be changed into a prime (90085381) 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 5 ways as a sum of consecutive naturals, for example, 12709 + ... + 18484.

Almost surely, 2^90085384 is an apocalyptic number.

It is an amenable number.

90085384 is a deficient number, since it is larger than the sum of its proper divisors (88188326).

90085384 is a wasteful number, since it uses less digits than its factorization.

90085384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31237 (or 31214 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 90085384 is about 9491.3320456088. The cubic root of 90085384 is about 448.2821484785.

The spelling of 90085384 in words is "ninety million, eighty-five thousand, three hundred eighty-four".