688586496 has 144 divisors (see below), whose sum is σ = 2090227104. Its totient is φ = 199360512.

The previous prime is 688586461. The next prime is 688586501. The reversal of 688586496 is 694685886.

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 15 ways as a sum of consecutive naturals, for example, 167700 + ... + 171756.

It is an arithmetic number, because the mean of its divisors is an integer number (14515466).

Almost surely, 2^688586496 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 688586496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045113552).

688586496 is an abundant number, since it is smaller than the sum of its proper divisors (1401640608).

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

688586496 is a wasteful number, since it uses less digits than its factorization.

688586496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4092 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 60.

The square root of 688586496 is about 26240.9316907765. The cubic root of 688586496 is about 883.0517735914.

The spelling of 688586496 in words is "six hundred eighty-eight million, five hundred eighty-six thousand, four hundred ninety-six".