688973376 has 224 divisors, whose sum is σ = 2294046720. Its totient is φ = 177629184.

The previous prime is 688973371. The next prime is 688973393. The reversal of 688973376 is 673379886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (688973371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820765 + ... + 821603.

It is an arithmetic number, because the mean of its divisors is an integer number (10241280).

Almost surely, 2^688973376 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 688973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147023360).

688973376 is an abundant number, since it is smaller than the sum of its proper divisors (1605073344).

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

688973376 is a wasteful number, since it uses less digits than its factorization.

688973376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 911 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The square root of 688973376 is about 26248.3023451041. The cubic root of 688973376 is about 883.2171225151.

The spelling of 688973376 in words is "six hundred eighty-eight million, nine hundred seventy-three thousand, three hundred seventy-six".