4066920 has 192 divisors, whose sum is σ = 15724800. Its totient is φ = 898560.

The previous prime is 4066901. The next prime is 4066943. The reversal of 4066920 is 296604.

4066920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51441 + ... + 51519.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

Almost surely, 2^4066920 is an apocalyptic number.

4066920 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 4066920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

4066920 is an abundant number, since it is smaller than the sum of its proper divisors (11657880).

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

4066920 is a wasteful number, since it uses less digits than its factorization.

4066920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4066920 is about 2016.6606060515. The cubic root of 4066920 is about 159.6204545363.

The spelling of 4066920 in words is "four million, sixty-six thousand, nine hundred twenty".