4006656 has 108 divisors (see below), whose sum is σ = 12116832. Its totient is φ = 1271808.

The previous prime is 4006649. The next prime is 4006661. The reversal of 4006656 is 6566004.

4006656 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 656 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85225 + ... + 85271.

Almost surely, 2^4006656 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 4006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058416).

4006656 is an abundant number, since it is smaller than the sum of its proper divisors (8110176).

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

4006656 is a wasteful number, since it uses less digits than its factorization.

4006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4006656 is about 2001.6633083513. The cubic root of 4006656 is about 158.8281042497.

It can be divided in two parts, 400 and 6656, that added together give a square (7056 = 84²).

The spelling of 4006656 in words is "four million, six thousand, six hundred fifty-six".