4188992 has 56 divisors (see below), whose sum is σ = 8976360. Its totient is φ = 1935360.

The previous prime is 4188991. The next prime is 4188997. The reversal of 4188992 is 2998814.

It can be written as a sum of positive squares in 4 ways, for example, as 440896 + 3748096 = 664^2 + 1936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4188991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68642 + ... + 68702.

Almost surely, 2^4188992 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 4188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488180).

4188992 is an abundant number, since it is smaller than the sum of its proper divisors (4787368).

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

4188992 is a wasteful number, since it uses less digits than its factorization.

4188992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its digits is 41472, while the sum is 41.

The square root of 4188992 is about 2046.7027141234. The cubic root of 4188992 is about 161.2017839536.

The spelling of 4188992 in words is "four million, one hundred eighty-eight thousand, nine hundred ninety-two".