688070320 has 80 divisors (see below), whose sum is σ = 1831936320. Its totient is φ = 235441152.

The previous prime is 688070311. The next prime is 688070321. The reversal of 688070320 is 23070886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (688070321) 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, 396174 + ... + 397906.

It is an arithmetic number, because the mean of its divisors is an integer number (22899204).

Almost surely, 2^688070320 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 688070320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915968160).

688070320 is an abundant number, since it is smaller than the sum of its proper divisors (1143866000).

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

688070320 is a wasteful number, since it uses less digits than its factorization.

688070320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 688070320 is about 26231.0945253910. The cubic root of 688070320 is about 882.8310682883.

The spelling of 688070320 in words is "six hundred eighty-eight million, seventy thousand, three hundred twenty".