20084416 has 56 divisors (see below), whose sum is σ = 44476416. Its totient is φ = 8920320.

The previous prime is 20084411. The next prime is 20084419. The reversal of 20084416 is 61448002.

It is a super-2 number, since 2×20084416² = 806767532122112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20084411) 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, 32785 + ... + 33391.

Almost surely, 2^20084416 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 20084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238208).

20084416 is an abundant number, since it is smaller than the sum of its proper divisors (24392000).

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

20084416 is a wasteful number, since it uses less digits than its factorization.

20084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 20084416 is about 4481.5640127081. The cubic root of 20084416 is about 271.8231260699.

The spelling of 20084416 in words is "twenty million, eighty-four thousand, four hundred sixteen".