684050864 has 80 divisors (see below), whose sum is σ = 1543502400. Its totient is φ = 287649792.

The previous prime is 684050821. The next prime is 684050911. The reversal of 684050864 is 468050486.

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 15 ways as a sum of consecutive naturals, for example, 1672292 + ... + 1672700.

It is an arithmetic number, because the mean of its divisors is an integer number (19293780).

Almost surely, 2^684050864 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 684050864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771751200).

684050864 is an abundant number, since it is smaller than the sum of its proper divisors (859451536).

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

684050864 is a wasteful number, since it uses less digits than its factorization.

684050864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 684050864 is about 26154.3660599908. The cubic root of 684050864 is about 881.1086509105.

The spelling of 684050864 in words is "six hundred eighty-four million, fifty thousand, eight hundred sixty-four".