6636240 has 120 divisors (see below), whose sum is σ = 24034920. Its totient is φ = 1631232.

The previous prime is 6636229. The next prime is 6636269. The reversal of 6636240 is 426366.

6636240 is a `hidden beast` number, since 6 + 636 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 6594624 = 204^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9006 + ... + 9714.

It is an arithmetic number, because the mean of its divisors is an integer number (200291).

Almost surely, 2^6636240 is an apocalyptic number.

6636240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6636240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12017460).

6636240 is an abundant number, since it is smaller than the sum of its proper divisors (17398680).

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

6636240 is a wasteful number, since it uses less digits than its factorization.

6636240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6636240 is about 2576.0900605375. The cubic root of 6636240 is about 187.9204431755.

It can be divided in two parts, 663 and 6240, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 6636240 in words is "six million, six hundred thirty-six thousand, two hundred forty".