684930000 has 300 divisors, whose sum is σ = 2378488640. Its totient is φ = 169728000.

The previous prime is 684929989. The next prime is 684930023. The reversal of 684930000 is 39486.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 684930000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8669961 + ... + 8670039.

Almost surely, 2^684930000 is an apocalyptic number.

684930000 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 684930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189244320).

684930000 is an abundant number, since it is smaller than the sum of its proper divisors (1693558640).

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

684930000 is a wasteful number, since it uses less digits than its factorization.

684930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 684930000 is about 26171.1673411791. The cubic root of 684930000 is about 881.4859536180.

Adding to 684930000 its reverse (39486), we get a palindrome (684969486).

The spelling of 684930000 in words is "six hundred eighty-four million, nine hundred thirty thousand".