4166000 has 40 divisors (see below), whose sum is σ = 10078224. Its totient is φ = 1665600.

The previous prime is 4165999. The next prime is 4166011. The reversal of 4166000 is 6614.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 4166000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 959 + ... + 3041.

Almost surely, 2^4166000 is an apocalyptic number.

4166000 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 4166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039112).

4166000 is an abundant number, since it is smaller than the sum of its proper divisors (5912224).

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

4166000 is a wasteful number, since it uses less digits than its factorization.

4166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4166000 is about 2041.0781464706. The cubic root of 4166000 is about 160.9063148487.

The spelling of 4166000 in words is "four million, one hundred sixty-six thousand".