688722048 has 320 divisors, whose sum is σ = 2399896800. Its totient is φ = 194406912.

The previous prime is 688722043. The next prime is 688722049. The reversal of 688722048 is 840227886.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 688721994 and 688722012.

It is not an unprimeable number, because it can be changed into a prime (688722043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8297815 + ... + 8297897.

Almost surely, 2^688722048 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 688722048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199948400).

688722048 is an abundant number, since it is smaller than the sum of its proper divisors (1711174752).

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

688722048 is an frugal number, since it uses more digits than its factorization.

688722048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 688722048 is about 26243.5143987996. The cubic root of 688722048 is about 883.1097143058.

The spelling of 688722048 in words is "six hundred eighty-eight million, seven hundred twenty-two thousand, forty-eight".