688825760 has 96 divisors (see below), whose sum is σ = 1872605952. Its totient is φ = 234547200.

The previous prime is 688825751. The next prime is 688825763. The reversal of 688825760 is 67528886.

It is a junction number, because it is equal to n+sod(n) for n = 688825699 and 688825708.

It is not an unprimeable number, because it can be changed into a prime (688825763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167084 + ... + 171156.

It is an arithmetic number, because the mean of its divisors is an integer number (19506312).

Almost surely, 2^688825760 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 688825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936302976).

688825760 is an abundant number, since it is smaller than the sum of its proper divisors (1183780192).

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

688825760 is a wasteful number, since it uses less digits than its factorization.

688825760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The square root of 688825760 is about 26245.4902792842. The cubic root of 688825760 is about 883.1540401108.

The spelling of 688825760 in words is "six hundred eighty-eight million, eight hundred twenty-five thousand, seven hundred sixty".