684097128 has 288 divisors, whose sum is σ = 2312388000. Its totient is φ = 180610560.

The previous prime is 684097121. The next prime is 684097163. The reversal of 684097128 is 821790486.

684097128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (684097121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2542978 + ... + 2543246.

It is an arithmetic number, because the mean of its divisors is an integer number (8029125).

Almost surely, 2^684097128 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 684097128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156194000).

684097128 is an abundant number, since it is smaller than the sum of its proper divisors (1628290872).

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

684097128 is a wasteful number, since it uses less digits than its factorization.

684097128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 684097128 is about 26155.2504862790. The cubic root of 684097128 is about 881.1285142929.

The spelling of 684097128 in words is "six hundred eighty-four million, ninety-seven thousand, one hundred twenty-eight".