4185020 has 48 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1418304.

The previous prime is 4185007. The next prime is 4185029. The reversal of 4185020 is 205814.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4184983 and 4185001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4185029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23291 + ... + 23469.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^4185020 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 4185020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

4185020 is an abundant number, since it is smaller than the sum of its proper divisors (5975620).

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

4185020 is a wasteful number, since it uses less digits than its factorization.

4185020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 4185020 is about 2045.7321427792. The cubic root of 4185020 is about 161.1508173593.

The spelling of 4185020 in words is "four million, one hundred eighty-five thousand, twenty".