688664448 has 96 divisors (see below), whose sum is σ = 1990113840. Its totient is φ = 228581376.

The previous prime is 688664447. The next prime is 688664453. The reversal of 688664448 is 844466886.

688664448 is a `hidden beast` number, since 68 + 86 + 64 + 448 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 688664394 and 688664403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688664447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301840 + ... + 304112.

Almost surely, 2^688664448 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 688664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995056920).

688664448 is an abundant number, since it is smaller than the sum of its proper divisors (1301449392).

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

688664448 is a wasteful number, since it uses less digits than its factorization.

688664448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2541 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 688664448 is about 26242.4169618578. The cubic root of 688664448 is about 883.0850945346.

The spelling of 688664448 in words is "six hundred eighty-eight million, six hundred sixty-four thousand, four hundred forty-eight".