688068000 has 384 divisors, whose sum is σ = 2622896640. Its totient is φ = 174873600.

The previous prime is 688067999. The next prime is 688068067. The reversal of 688068000 is 860886.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2483862 + ... + 2484138.

It is an arithmetic number, because the mean of its divisors is an integer number (6830460).

Almost surely, 2^688068000 is an apocalyptic number.

688068000 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 688068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311448320).

688068000 is an abundant number, since it is smaller than the sum of its proper divisors (1934828640).

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

688068000 is a wasteful number, since it uses less digits than its factorization.

688068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 688068000 is about 26231.0503030283. The cubic root of 688068000 is about 882.8300760591.

The spelling of 688068000 in words is "six hundred eighty-eight million, sixty-eight thousand".