90417680 has 40 divisors (see below), whose sum is σ = 212170200. Its totient is φ = 35831808.

The previous prime is 90417619. The next prime is 90417683. The reversal of 90417680 is 8671409.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 88435216 = 1408^2 + 9404^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 90417680.

It is not an unprimeable number, because it can be changed into a prime (90417683) 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 7 ways as a sum of consecutive naturals, for example, 3536 + ... + 13904.

It is an arithmetic number, because the mean of its divisors is an integer number (5304255).

Almost surely, 2^90417680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90417680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106085100).

90417680 is an abundant number, since it is smaller than the sum of its proper divisors (121752520).

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

90417680 is a wasteful number, since it uses less digits than its factorization.

90417680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10491 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 90417680 is about 9508.8211677368. The cubic root of 90417680 is about 448.8326616863.

The spelling of 90417680 in words is "ninety million, four hundred seventeen thousand, six hundred eighty".