4196416 has 112 divisors (see below), whose sum is σ = 10972800. Its totient is φ = 1548288.

The previous prime is 4196407. The next prime is 4196417. The reversal of 4196416 is 6146914.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4196417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144690 + ... + 144718.

Almost surely, 2^4196416 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 4196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486400).

4196416 is an abundant number, since it is smaller than the sum of its proper divisors (6776384).

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

4196416 is a wasteful number, since it uses less digits than its factorization.

4196416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 74 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 4196416 is about 2048.5155601069. The cubic root of 4196416 is about 161.2969584607.

The spelling of 4196416 in words is "four million, one hundred ninety-six thousand, four hundred sixteen".