3006656 has 28 divisors (see below), whose sum is σ = 6035040. Its totient is φ = 1486080.

The previous prime is 3006649. The next prime is 3006667. The reversal of 3006656 is 6566003.

It is a super-3 number, since 3×3006656³ = 81540333047701045248, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6761 + ... + 7191.

Almost surely, 2^3006656 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 3006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017520).

3006656 is an abundant number, since it is smaller than the sum of its proper divisors (3028384).

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

3006656 is a wasteful number, since it uses less digits than its factorization.

3006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 3006656 is about 1733.9711646968. The cubic root of 3006656 is about 144.3315406133.

The spelling of 3006656 in words is "three million, six thousand, six hundred fifty-six".