688347072 has 168 divisors, whose sum is σ = 2338766976. Its totient is φ = 196639488.

The previous prime is 688346993. The next prime is 688347097. The reversal of 688347072 is 270743886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105703 + ... + 112025.

It is an arithmetic number, because the mean of its divisors is an integer number (13921232).

Almost surely, 2^688347072 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 688347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169383488).

688347072 is an abundant number, since it is smaller than the sum of its proper divisors (1650419904).

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

688347072 is an equidigital number, since it uses as much as digits as its factorization.

688347072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 688347072 is about 26236.3692610087. The cubic root of 688347072 is about 882.9494149683.

The spelling of 688347072 in words is "six hundred eighty-eight million, three hundred forty-seven thousand, seventy-two".