684684000 has 1152 divisors, whose sum is σ = 3434296320. Its totient is φ = 124416000.

The previous prime is 684683917. The next prime is 684684023. The reversal of 684684000 is 486486.

684684000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36035991 + ... + 36036009.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2^684684000 is an apocalyptic number.

684684000 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 684684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717148160).

684684000 is an abundant number, since it is smaller than the sum of its proper divisors (2749612320).

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

684684000 is a wasteful number, since it uses less digits than its factorization.

684684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 684684000 is about 26166.4670905340. The cubic root of 684684000 is about 881.3804092507.

The spelling of 684684000 in words is "six hundred eighty-four million, six hundred eighty-four thousand".