6636000 has 192 divisors, whose sum is σ = 25159680. Its totient is φ = 1497600.

The previous prime is 6635963. The next prime is 6636011. The reversal of 6636000 is 6366.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83961 + ... + 84039.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 2^6636000 is an apocalyptic number.

6636000 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 6636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

6636000 is an abundant number, since it is smaller than the sum of its proper divisors (18523680).

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

6636000 is a wasteful number, since it uses less digits than its factorization.

6636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 6636000 is about 2576.0434778940. The cubic root of 6636000 is about 187.9181777637.

The spelling of 6636000 in words is "six million, six hundred thirty-six thousand".