684654000 has 160 divisors (see below), whose sum is σ = 2250016704. Its totient is φ = 179046400.

The previous prime is 684653993. The next prime is 684654001. The reversal of 684654000 is 456486.

It is a happy number.

684654000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (684654001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316924 + ... + 319076.

Almost surely, 2^684654000 is an apocalyptic number.

684654000 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 684654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125008352).

684654000 is an abundant number, since it is smaller than the sum of its proper divisors (1565362704).

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

684654000 is a wasteful number, since it uses less digits than its factorization.

684654000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 684654000 is about 26165.8938314746. The cubic root of 684654000 is about 881.3675362570.

The spelling of 684654000 in words is "six hundred eighty-four million, six hundred fifty-four thousand".