688729860 has 288 divisors, whose sum is σ = 2707810560. Its totient is φ = 137604096.

The previous prime is 688729837. The next prime is 688729861. The reversal of 688729860 is 68927886.

It is a junction number, because it is equal to n+sod(n) for n = 688729797 and 688729806.

It is not an unprimeable number, because it can be changed into a prime (688729861) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310114 + ... + 312326.

It is an arithmetic number, because the mean of its divisors is an integer number (9402120).

Almost surely, 2^688729860 is an apocalyptic number.

688729860 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688729860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353905280).

688729860 is an abundant number, since it is smaller than the sum of its proper divisors (2019080700).

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

688729860 is a wasteful number, since it uses less digits than its factorization.

688729860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 688729860 is about 26243.6632351507. The cubic root of 688729860 is about 883.1130532565.

The spelling of 688729860 in words is "six hundred eighty-eight million, seven hundred twenty-nine thousand, eight hundred sixty".