4180164 has 48 divisors (see below), whose sum is σ = 10676736. Its totient is φ = 1267200.

The previous prime is 4180157. The next prime is 4180201. The reversal of 4180164 is 4610814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5994 + ... + 6654.

It is an arithmetic number, because the mean of its divisors is an integer number (222432).

Almost surely, 2^4180164 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 4180164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338368).

4180164 is an abundant number, since it is smaller than the sum of its proper divisors (6496572).

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

4180164 is a wasteful number, since it uses less digits than its factorization.

4180164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4180164 is about 2044.5449371437. The cubic root of 4180164 is about 161.0884639149.

Adding to 4180164 its reverse (4610814), we get a palindrome (8790978).

The spelling of 4180164 in words is "four million, one hundred eighty thousand, one hundred sixty-four".