684960 has 48 divisors (see below), whose sum is σ = 2159136. Its totient is φ = 182528.

The previous prime is 684949. The next prime is 684961. The reversal of 684960 is 69486.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (684961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234 + ... + 1193.

It is an arithmetic number, because the mean of its divisors is an integer number (44982).

2⁶⁸⁴⁹⁶⁰ is an apocalyptic number.

684960 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 684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079568).

684960 is an abundant number, since it is smaller than the sum of its proper divisors (1474176).

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

684960 is a wasteful number, since it uses less digits than its factorization.

684960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 684960 is about 827.6231026258. The cubic root of 684960 is about 88.1498823153.

The spelling of 684960 in words is "six hundred eighty-four thousand, nine hundred sixty".