4006864 has 20 divisors (see below), whose sum is σ = 7805056. Its totient is φ = 1992672.

The previous prime is 4006861. The next prime is 4006879. The reversal of 4006864 is 4686004.

4006864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4006864² = 32109918228992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006861) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3007 + ... + 4129.

Almost surely, 2^4006864 is an apocalyptic number.

It is an amenable number.

4006864 is a deficient number, since it is larger than the sum of its proper divisors (3798192).

4006864 is a wasteful number, since it uses less digits than its factorization.

4006864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 4006864 is about 2001.7152644670. The cubic root of 4006864 is about 158.8308526492.

The spelling of 4006864 in words is "four million, six thousand, eight hundred sixty-four".