688674000 has 320 divisors, whose sum is σ = 2674114560. Its totient is φ = 148953600.

The previous prime is 688673989. The next prime is 688674011. The reversal of 688674000 is 476886.

It is an interprime number because it is at equal distance from previous prime (688673989) and next prime (688674011).

It is a self number, because there is not a number n which added to its sum of digits gives 688674000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 797569 + ... + 798431.

It is an arithmetic number, because the mean of its divisors is an integer number (8356608).

Almost surely, 2^688674000 is an apocalyptic number.

688674000 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 688674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337057280).

688674000 is an abundant number, since it is smaller than the sum of its proper divisors (1985440560).

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

688674000 is a wasteful number, since it uses less digits than its factorization.

688674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 688674000 is about 26242.5989566582. The cubic root of 688674000 is about 883.0891774083.

The spelling of 688674000 in words is "six hundred eighty-eight million, six hundred seventy-four thousand".