684084960 has 288 divisors, whose sum is σ = 2595408480. Its totient is φ = 168210432.

The previous prime is 684084931. The next prime is 684085033. The reversal of 684084960 is 69480486.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729612 + ... + 730548.

It is an arithmetic number, because the mean of its divisors is an integer number (9011835).

Almost surely, 2^684084960 is an apocalyptic number.

684084960 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 684084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297704240).

684084960 is an abundant number, since it is smaller than the sum of its proper divisors (1911323520).

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

684084960 is a wasteful number, since it uses less digits than its factorization.

684084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 684084960 is about 26155.0178742053. The cubic root of 684084960 is about 881.1232900663.

The spelling of 684084960 in words is "six hundred eighty-four million, eighty-four thousand, nine hundred sixty".