90009616 has 40 divisors (see below), whose sum is σ = 182131200. Its totient is φ = 43042560.

The previous prime is 90009607. The next prime is 90009659. The reversal of 90009616 is 61690009.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

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, 43125 + ... + 45163.

It is an arithmetic number, because the mean of its divisors is an integer number (4553280).

Almost surely, 2^90009616 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 90009616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).

90009616 is an abundant number, since it is smaller than the sum of its proper divisors (92121584).

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

90009616 is a wasteful number, since it uses less digits than its factorization.

90009616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 90009616 is about 9487.3397746681. The cubic root of 90009616 is about 448.1564345273.

The spelling of 90009616 in words is "ninety million, nine thousand, six hundred sixteen".