684885120 has 128 divisors (see below), whose sum is σ = 2311597440. Its totient is φ = 171884544.

The previous prime is 684885119. The next prime is 684885151. The reversal of 684885120 is 21588486.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22149 + ... + 43131.

It is an arithmetic number, because the mean of its divisors is an integer number (18059355).

Almost surely, 2^684885120 is an apocalyptic number.

684885120 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 684885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155798720).

684885120 is an abundant number, since it is smaller than the sum of its proper divisors (1626712320).

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

684885120 is a wasteful number, since it uses less digits than its factorization.

684885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21022 (or 21010 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 684885120 is about 26170.3098949936. The cubic root of 684885120 is about 881.4667000915.

The spelling of 684885120 in words is "six hundred eighty-four million, eight hundred eighty-five thousand, one hundred twenty".