4084416 has 84 divisors (see below), whose sum is σ = 13392912. Its totient is φ = 1165824.

The previous prime is 4084397. The next prime is 4084427. The reversal of 4084416 is 6144804.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×4084416² = 33364908122112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4084416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3526 + ... + 4538.

Almost surely, 2^4084416 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 4084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696456).

4084416 is an abundant number, since it is smaller than the sum of its proper divisors (9308496).

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

4084416 is a wasteful number, since it uses less digits than its factorization.

4084416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4084416 is about 2020.9938149336. The cubic root of 4084416 is about 159.8490242510.

The spelling of 4084416 in words is "four million, eighty-four thousand, four hundred sixteen".