90289416 has 64 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 25466688.

The previous prime is 90289403. The next prime is 90289427. The reversal of 90289416 is 61498209.

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 15 ways as a sum of consecutive naturals, for example, 9871 + ... + 16673.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2^90289416 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 90289416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

90289416 is an abundant number, since it is smaller than the sum of its proper divisors (170984184).

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

90289416 is a wasteful number, since it uses less digits than its factorization.

90289416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6898 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 90289416 is about 9502.0742998568. The cubic root of 90289416 is about 448.6203274173.

The spelling of 90289416 in words is "ninety million, two hundred eighty-nine thousand, four hundred sixteen".