4006880 has 48 divisors (see below), whose sum is σ = 9616320. Its totient is φ = 1577472.

The previous prime is 4006879. The next prime is 4006913. The reversal of 4006880 is 886004.

4006880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12482 + ... + 12798.

It is an arithmetic number, because the mean of its divisors is an integer number (200340).

Almost surely, 2^4006880 is an apocalyptic number.

4006880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808160).

4006880 is an abundant number, since it is smaller than the sum of its proper divisors (5609440).

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

4006880 is a wasteful number, since it uses less digits than its factorization.

4006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 4006880 is about 2001.7192610354. The cubic root of 4006880 is about 158.8310640606.

The spelling of 4006880 in words is "four million, six thousand, eight hundred eighty".