688845000 has 160 divisors (see below), whose sum is σ = 2266149600. Its totient is φ = 173952000.

The previous prime is 688844969. The next prime is 688845043. The reversal of 688845000 is 548886.

It is a self number, because there is not a number n which added to its sum of digits gives 688845000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 283792 + ... + 286208.

It is an arithmetic number, because the mean of its divisors is an integer number (14163435).

Almost surely, 2^688845000 is an apocalyptic number.

688845000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133074800).

688845000 is an abundant number, since it is smaller than the sum of its proper divisors (1577304600).

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

688845000 is a wasteful number, since it uses less digits than its factorization.

688845000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 688845000 is about 26245.8568158862. The cubic root of 688845000 is about 883.1622626670.

The spelling of 688845000 in words is "six hundred eighty-eight million, eight hundred forty-five thousand".