688207872 has 192 divisors, whose sum is σ = 2122848000. Its totient is φ = 195952640.

The previous prime is 688207867. The next prime is 688207879. The reversal of 688207872 is 278702886.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688207879) 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, 1148629 + ... + 1149227.

It is an arithmetic number, because the mean of its divisors is an integer number (11056500).

Almost surely, 2^688207872 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 688207872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424000).

688207872 is an abundant number, since it is smaller than the sum of its proper divisors (1434640128).

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

688207872 is a wasteful number, since it uses less digits than its factorization.

688207872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 688207872 is about 26233.7163207960. The cubic root of 688207872 is about 882.8898932293.

The spelling of 688207872 in words is "six hundred eighty-eight million, two hundred seven thousand, eight hundred seventy-two".