688003056 has 180 divisors, whose sum is σ = 2208930048. Its totient is φ = 199120896.

The previous prime is 688003051. The next prime is 688003067. The reversal of 688003056 is 650300886.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 688003056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688003051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 412881 + ... + 414543.

Almost surely, 2^688003056 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 688003056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104465024).

688003056 is an abundant number, since it is smaller than the sum of its proper divisors (1520926992).

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

688003056 is a wasteful number, since it uses less digits than its factorization.

688003056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 688003056 is about 26229.8123515972. The cubic root of 688003056 is about 882.8022995794.

The spelling of 688003056 in words is "six hundred eighty-eight million, three thousand, fifty-six".