4006980 has 72 divisors (see below), whose sum is σ = 12324312. Its totient is φ = 1053696.

The previous prime is 4006979. The next prime is 4006993. The reversal of 4006980 is 896004.

It can be written as a sum of positive squares in 4 ways, for example, as 389376 + 3617604 = 624^2 + 1902^2 .

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, 20242 + ... + 20438.

It is an arithmetic number, because the mean of its divisors is an integer number (171171).

Almost surely, 2^4006980 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 4006980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162156).

4006980 is an abundant number, since it is smaller than the sum of its proper divisors (8317332).

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

4006980 is a wasteful number, since it uses less digits than its factorization.

4006980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4006980 is about 2001.7442394072. The cubic root of 4006980 is about 158.8323853692.

The spelling of 4006980 in words is "four million, six thousand, nine hundred eighty".