4164090 has 64 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 936000.

The previous prime is 4164071. The next prime is 4164101. The reversal of 4164090 is 904614.

It is a self number, because there is not a number n which added to its sum of digits gives 4164090.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16465 + ... + 16715.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^4164090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

4164090 is an abundant number, since it is smaller than the sum of its proper divisors (7448070).

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

4164090 is a wasteful number, since it uses less digits than its factorization.

4164090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4164090 is about 2040.6102028560. The cubic root of 4164090 is about 160.8817206703.

The spelling of 4164090 in words is "four million, one hundred sixty-four thousand, ninety".