4000680 has 48 divisors (see below), whose sum is σ = 13003380. Its totient is φ = 1066752.

The previous prime is 4000679. The next prime is 4000691. The reversal of 4000680 is 860004.

4000680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3305124 + 695556 = 1818^2 + 834^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam 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 11 ways as a sum of consecutive naturals, for example, 5197 + ... + 5916.

Almost surely, 2^4000680 is an apocalyptic number.

4000680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000680 is an abundant number, since it is smaller than the sum of its proper divisors (9002700).

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

4000680 is a wasteful number, since it uses less digits than its factorization.

4000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11130 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4000680 is about 2000.1699927756. The cubic root of 4000680 is about 158.7490999598.

Adding to 4000680 its reverse (860004), we get a palindrome (4860684).

The spelling of 4000680 in words is "four million, six hundred eighty", and thus it is an aban number.