4165980 has 144 divisors (see below), whose sum is σ = 14747040. Its totient is φ = 870912.

The previous prime is 4165979. The next prime is 4165991. The reversal of 4165980 is 895614.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 38166 + ... + 38274.

It is an arithmetic number, because the mean of its divisors is an integer number (102410).

Almost surely, 2^4165980 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 4165980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373520).

4165980 is an abundant number, since it is smaller than the sum of its proper divisors (10581060).

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

4165980 is a wasteful number, since it uses less digits than its factorization.

4165980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 4165980 is about 2041.0732470933. The cubic root of 4165980 is about 160.9060573569.

The spelling of 4165980 in words is "four million, one hundred sixty-five thousand, nine hundred eighty".