4166120 has 32 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 1428288.

The previous prime is 4166119. The next prime is 4166137. The reversal of 4166120 is 216614.

It is a happy number.

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 = 4166092 and 4166101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7160 + ... + 7719.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 2^4166120 is an apocalyptic number.

4166120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4166120 is an abundant number, since it is smaller than the sum of its proper divisors (6547480).

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

4166120 is a wasteful number, since it uses less digits than its factorization.

4166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14897 (or 14893 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4166120 is about 2041.1075424877. The cubic root of 4166120 is about 160.9078597816.

The spelling of 4166120 in words is "four million, one hundred sixty-six thousand, one hundred twenty".