684978112 has 112 divisors (see below), whose sum is σ = 1682699200. Its totient is φ = 269402112.

The previous prime is 684978083. The next prime is 684978113. The reversal of 684978112 is 211879486.

It is a tau number, because it is divible by the number of its divisors (112).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 684978112 = 540³ + 808³ = 664³ + 732³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684978113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1962514 + ... + 1962862.

It is an arithmetic number, because the mean of its divisors is an integer number (15024100).

Almost surely, 2^684978112 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 684978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841349600).

684978112 is an abundant number, since it is smaller than the sum of its proper divisors (997721088).

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

684978112 is a wasteful number, since it uses less digits than its factorization.

684978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 708 counting only the distinct ones).

The product of its digits is 193536, while the sum is 46.

The square root of 684978112 is about 26172.0865045185. The cubic root of 684978112 is about 881.5065927389.

The spelling of 684978112 in words is "six hundred eighty-four million, nine hundred seventy-eight thousand, one hundred twelve".