684664000 has 168 divisors, whose sum is σ = 1798771104. Its totient is φ = 257664000.

The previous prime is 684663997. The next prime is 684664009. The reversal of 684664000 is 466486.

It is not an unprimeable number, because it can be changed into a prime (684664009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11223970 + ... + 11224030.

Almost surely, 2^684664000 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 684664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899385552).

684664000 is an abundant number, since it is smaller than the sum of its proper divisors (1114107104).

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

684664000 is an equidigital number, since it uses as much as digits as its factorization.

684664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 684664000 is about 26166.0849192232. The cubic root of 684664000 is about 881.3718272967.

The spelling of 684664000 in words is "six hundred eighty-four million, six hundred sixty-four thousand".