90214304 has 48 divisors (see below), whose sum is σ = 183435840. Its totient is φ = 43653120.

The previous prime is 90214297. The next prime is 90214339. The reversal of 90214304 is 40341209.

It is a self number, because there is not a number n which added to its sum of digits gives 90214304.

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, 133712 + ... + 134384.

It is an arithmetic number, because the mean of its divisors is an integer number (3821580).

Almost surely, 2^90214304 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 90214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91717920).

90214304 is an abundant number, since it is smaller than the sum of its proper divisors (93221536).

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

90214304 is a wasteful number, since it uses less digits than its factorization.

90214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 90214304 is about 9498.1210773500. The cubic root of 90214304 is about 448.4958900986.

The spelling of 90214304 in words is "ninety million, two hundred fourteen thousand, three hundred four".