4191984 has 60 divisors (see below), whose sum is σ = 12022296. Its totient is φ = 1362816.

The previous prime is 4191983. The next prime is 4191991. The reversal of 4191984 is 4891914.

4191984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4191983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5854 + ... + 6530.

Almost surely, 2^4191984 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 4191984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011148).

4191984 is an abundant number, since it is smaller than the sum of its proper divisors (7830312).

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

4191984 is a wasteful number, since it uses less digits than its factorization.

4191984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 725 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 4191984 is about 2047.4335154041. The cubic root of 4191984 is about 161.2401544376.

The spelling of 4191984 in words is "four million, one hundred ninety-one thousand, nine hundred eighty-four".