6657630 has 64 divisors (see below), whose sum is σ = 18662400. Its totient is φ = 1519392.

The previous prime is 6657613. The next prime is 6657631. The reversal of 6657630 is 367566.

It is a junction number, because it is equal to n+sod(n) for n = 6657591 and 6657600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6657631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9967 + ... + 10613.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 2^6657630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6657630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331200).

6657630 is an abundant number, since it is smaller than the sum of its proper divisors (12004770).

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

6657630 is a wasteful number, since it uses less digits than its factorization.

6657630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 6657630 is about 2580.2383610822. The cubic root of 6657630 is about 188.1221290350.

Subtracting from 6657630 its reverse (367566), we obtain a square (6290064 = 2508²).

The spelling of 6657630 in words is "six million, six hundred fifty-seven thousand, six hundred thirty".