6688100 has 36 divisors (see below), whose sum is σ = 14832384. Its totient is φ = 2616480.

The previous prime is 6688093. The next prime is 6688103. The reversal of 6688100 is 18866.

It is a super-2 number, since 2×6688100² = 89461363220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6688103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3989 + ... + 5411.

Almost surely, 2^6688100 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 6688100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7416192).

6688100 is an abundant number, since it is smaller than the sum of its proper divisors (8144284).

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

6688100 is a wasteful number, since it uses less digits than its factorization.

6688100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 6688100 is about 2586.1361139739. The cubic root of 6688100 is about 188.4086854001.

The spelling of 6688100 in words is "six million, six hundred eighty-eight thousand, one hundred".