4206120 has 32 divisors (see below), whose sum is σ = 12618720. Its totient is φ = 1121600.

The previous prime is 4206119. The next prime is 4206127. The reversal of 4206120 is 216024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4206120.

It is not an unprimeable number, because it can be changed into a prime (4206127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17406 + ... + 17645.

It is an arithmetic number, because the mean of its divisors is an integer number (394335).

Almost surely, 2^4206120 is an apocalyptic number.

4206120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4206120 is an abundant number, since it is smaller than the sum of its proper divisors (8412600).

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

4206120 is a wasteful number, since it uses less digits than its factorization.

4206120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35065 (or 35061 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4206120 is about 2050.8827367746. The cubic root of 4206120 is about 161.4211931037.

Subtracting from 4206120 its product of nonzero digits (96), we obtain a palindrome (4206024).

The spelling of 4206120 in words is "four million, two hundred six thousand, one hundred twenty".