6688032 has 96 divisors (see below), whose sum is σ = 19813248. Its totient is φ = 1959936.

The previous prime is 6688027. The next prime is 6688049. The reversal of 6688032 is 2308866.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 6687984 and 6688002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28588 + ... + 28820.

It is an arithmetic number, because the mean of its divisors is an integer number (206388).

Almost surely, 2^6688032 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 6688032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624).

6688032 is an abundant number, since it is smaller than the sum of its proper divisors (13125216).

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

6688032 is a wasteful number, since it uses less digits than its factorization.

6688032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6688032 is about 2586.1229669140. The cubic root of 6688032 is about 188.4080468613.

The spelling of 6688032 in words is "six million, six hundred eighty-eight thousand, thirty-two".