4186980 has 72 divisors (see below), whose sum is σ = 14519232. Its totient is φ = 956736.

The previous prime is 4186951. The next prime is 4186997. The reversal of 4186980 is 896814.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402 + ... + 2921.

It is an arithmetic number, because the mean of its divisors is an integer number (201656).

Almost surely, 2^4186980 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 4186980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259616).

4186980 is an abundant number, since it is smaller than the sum of its proper divisors (10332252).

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

4186980 is a wasteful number, since it uses less digits than its factorization.

4186980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4186980 is about 2046.2111328013. The cubic root of 4186980 is about 161.1759710667.

The spelling of 4186980 in words is "four million, one hundred eighty-six thousand, nine hundred eighty".