6629688 has 80 divisors (see below), whose sum is σ = 20023080. Its totient is φ = 2037312.

The previous prime is 6629687. The next prime is 6629713. The reversal of 6629688 is 8869266.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6629683) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8031 + ... + 8817.

Almost surely, 2^6629688 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 6629688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10011540).

6629688 is an abundant number, since it is smaller than the sum of its proper divisors (13393392).

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

6629688 is a wasteful number, since it uses less digits than its factorization.

6629688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 805 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 6629688 is about 2574.8180518242. The cubic root of 6629688 is about 187.8585778133.

It can be divided in two parts, 662968 and 8, that added together give a triangular number (662976 = T₁₁₅₁).

The spelling of 6629688 in words is "six million, six hundred twenty-nine thousand, six hundred eighty-eight".