4183920 has 160 divisors (see below), whose sum is σ = 15624000. Its totient is φ = 1022976.

The previous prime is 4183913. The next prime is 4183931. The reversal of 4183920 is 293814.

4183920 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28006 + ... + 28154.

It is an arithmetic number, because the mean of its divisors is an integer number (97650).

Almost surely, 2^4183920 is an apocalyptic number.

4183920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4183920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812000).

4183920 is an abundant number, since it is smaller than the sum of its proper divisors (11440080).

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

4183920 is a wasteful number, since it uses less digits than its factorization.

4183920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4183920 is about 2045.4632727087. The cubic root of 4183920 is about 161.1366970419.

The spelling of 4183920 in words is "four million, one hundred eighty-three thousand, nine hundred twenty".