684766368 has 216 divisors, whose sum is σ = 2302110720. Its totient is φ = 191393280.

The previous prime is 684766367. The next prime is 684766393. The reversal of 684766368 is 863667486.

It is a super-2 number, since 2×684766368² = 937809957487822848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (684766361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 534753 + ... + 536031.

It is an arithmetic number, because the mean of its divisors is an integer number (10657920).

Almost surely, 2^684766368 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 684766368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151055360).

684766368 is an abundant number, since it is smaller than the sum of its proper divisors (1617344352).

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

684766368 is a wasteful number, since it uses less digits than its factorization.

684766368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1308 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 684766368 is about 26168.0409660334. The cubic root of 684766368 is about 881.4157514088.

The spelling of 684766368 in words is "six hundred eighty-four million, seven hundred sixty-six thousand, three hundred sixty-eight".