4166580 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 983680.

The previous prime is 4166563. The next prime is 4166593. The reversal of 4166580 is 856614.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 38887 + ... + 38993.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^4166580 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 4166580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

4166580 is an abundant number, since it is smaller than the sum of its proper divisors (8897100).

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

4166580 is a wasteful number, since it uses less digits than its factorization.

4166580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4166580 is about 2041.2202232978. The cubic root of 4166580 is about 160.9137817499.

It can be divided in two parts, 416 and 6580, that added together give a palindrome (6996).

The spelling of 4166580 in words is "four million, one hundred sixty-six thousand, five hundred eighty".