4002180 has 96 divisors (see below), whose sum is σ = 13810944. Its totient is φ = 843264.

The previous prime is 4002169. The next prime is 4002197. The reversal of 4002180 is 812004.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 5094 + ... + 5826.

It is an arithmetic number, because the mean of its divisors is an integer number (143864).

Almost surely, 2^4002180 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 4002180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905472).

4002180 is an abundant number, since it is smaller than the sum of its proper divisors (9808764).

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

4002180 is a wasteful number, since it uses less digits than its factorization.

4002180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4002180 is about 2000.5449257640. The cubic root of 4002180 is about 158.7689377453.

Adding to 4002180 its reverse (812004), we get a palindrome (4814184).

The spelling of 4002180 in words is "four million, two thousand, one hundred eighty".