90419985 has 12 divisors (see below), whose sum is σ = 156728052. Its totient is φ = 48223968.

The previous prime is 90419981. The next prime is 90420017. The reversal of 90419985 is 58991409.

It can be written as a sum of positive squares in 2 ways, for example, as 70358544 + 20061441 = 8388^2 + 4479^2 .

It is not a de Polignac number, because 90419985 - 2² = 90419981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2009333 = 90419985 / (9 + 0 + 4 + 1 + 9 + 9 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 90419985.

It is not an unprimeable number, because it can be changed into a prime (90419981) 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 11 ways as a sum of consecutive naturals, for example, 1004622 + ... + 1004711.

It is an arithmetic number, because the mean of its divisors is an integer number (13060671).

Almost surely, 2^90419985 is an apocalyptic number.

It is an amenable number.

90419985 is a deficient number, since it is larger than the sum of its proper divisors (66308067).

90419985 is a wasteful number, since it uses less digits than its factorization.

90419985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009344 (or 2009341 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 90419985 is about 9508.9423702113. The cubic root of 90419985 is about 448.8364756546.

The spelling of 90419985 in words is "ninety million, four hundred nineteen thousand, nine hundred eighty-five".