684097360 has 40 divisors (see below), whose sum is σ = 1599752520. Its totient is φ = 272051712.

The previous prime is 684097339. The next prime is 684097369. The reversal of 684097360 is 63790486.

It is a happy number.

684097360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 230918416 + 453178944 = 15196^2 + 21288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684097369) 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, 10875 + ... + 38554.

It is an arithmetic number, because the mean of its divisors is an integer number (39993813).

Almost surely, 2^684097360 is an apocalyptic number.

It is an amenable number.

684097360 is an abundant number, since it is smaller than the sum of its proper divisors (915655160).

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

684097360 is a wasteful number, since it uses less digits than its factorization.

684097360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49615 (or 49609 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 684097360 is about 26155.2549213346. The cubic root of 684097360 is about 881.1286138995.

The spelling of 684097360 in words is "six hundred eighty-four million, ninety-seven thousand, three hundred sixty".