688576128 has 64 divisors (see below), whose sum is σ = 1839321120. Its totient is φ = 228234240.

The previous prime is 688576127. The next prime is 688576153. The reversal of 688576128 is 821675886.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (688576127) 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 7 ways as a sum of consecutive naturals, for example, 64551 + ... + 74457.

Almost surely, 2^688576128 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 688576128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919660560).

688576128 is an abundant number, since it is smaller than the sum of its proper divisors (1150744992).

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

688576128 is a wasteful number, since it uses less digits than its factorization.

688576128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105 (or 10093 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 688576128 is about 26240.7341360717. The cubic root of 688576128 is about 883.0473415524.

The spelling of 688576128 in words is "six hundred eighty-eight million, five hundred seventy-six thousand, one hundred twenty-eight".