4195984 has 20 divisors (see below), whose sum is σ = 8755516. Its totient is φ = 1936512.

The previous prime is 4195973. The next prime is 4195999. The reversal of 4195984 is 4895914.

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 1373584 = 1680^2 + 1172^2 .

It is a d-powerful number, because it can be written as 4⁵ + 1 + 9 + 5³ + 9 + 8³ + 4¹¹ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9879 + ... + 10294.

Almost surely, 2^4195984 is an apocalyptic number.

It is an amenable number.

4195984 is an abundant number, since it is smaller than the sum of its proper divisors (4559532).

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

4195984 is a wasteful number, since it uses less digits than its factorization.

4195984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20194 (or 20188 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 4195984 is about 2048.4101151869. The cubic root of 4195984 is about 161.2914233663.

The spelling of 4195984 in words is "four million, one hundred ninety-five thousand, nine hundred eighty-four".