3006640 has 120 divisors (see below), whose sum is σ = 8905680. Its totient is φ = 935424.

The previous prime is 3006631. The next prime is 3006649. The reversal of 3006640 is 466003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3006631) and next prime (3006649).

It is not an unprimeable number, because it can be changed into a prime (3006649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50931 + ... + 50989.

It is an arithmetic number, because the mean of its divisors is an integer number (74214).

Almost surely, 2^3006640 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 3006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452840).

3006640 is an abundant number, since it is smaller than the sum of its proper divisors (5899040).

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

3006640 is a wasteful number, since it uses less digits than its factorization.

3006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3006640 is about 1733.9665510038. The cubic root of 3006640 is about 144.3312845915.

The spelling of 3006640 in words is "three million, six thousand, six hundred forty".