90384705 has 24 divisors (see below), whose sum is σ = 160491240. Its totient is φ = 47028480.

The previous prime is 90384689. The next prime is 90384709. The reversal of 90384705 is 50748309.

It can be written as a sum of positive squares in 4 ways, for example, as 10246401 + 80138304 = 3201^2 + 8952^2 .

It is not a de Polignac number, because 90384705 - 2⁴ = 90384689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90384705.

It is not an unprimeable number, because it can be changed into a prime (90384709) 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 23 ways as a sum of consecutive naturals, for example, 22650 + ... + 26339.

It is an arithmetic number, because the mean of its divisors is an integer number (6687135).

Almost surely, 2^90384705 is an apocalyptic number.

It is an amenable number.

90384705 is a deficient number, since it is larger than the sum of its proper divisors (70106535).

90384705 is a wasteful number, since it uses less digits than its factorization.

90384705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49041 (or 49038 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 90384705 is about 9507.0870933215. The cubic root of 90384705 is about 448.7780925040.

The spelling of 90384705 in words is "ninety million, three hundred eighty-four thousand, seven hundred five".