688750368 has 96 divisors (see below), whose sum is σ = 1839511296. Its totient is φ = 225619968.

The previous prime is 688750327. The next prime is 688750369. The reversal of 688750368 is 863057886.

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

It is a self number, because there is not a number n which added to its sum of digits gives 688750368.

It is not an unprimeable number, because it can be changed into a prime (688750369) 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, 1876521 + ... + 1876887.

It is an arithmetic number, because the mean of its divisors is an integer number (19161576).

Almost surely, 2^688750368 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 688750368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919755648).

688750368 is an abundant number, since it is smaller than the sum of its proper divisors (1150760928).

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

688750368 is a wasteful number, since it uses less digits than its factorization.

688750368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 688750368 is about 26244.0539551343. The cubic root of 688750368 is about 883.1218185232.

The spelling of 688750368 in words is "six hundred eighty-eight million, seven hundred fifty thousand, three hundred sixty-eight".