684396560 has 20 divisors (see below), whose sum is σ = 1591222188. Its totient is φ = 273758592.

The previous prime is 684396551. The next prime is 684396569. The reversal of 684396560 is 65693486.

It is an interprime number because it is at equal distance from previous prime (684396551) and next prime (684396569).

It can be written as a sum of positive squares in 2 ways, for example, as 288864016 + 395532544 = 16996^2 + 19888^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (684396569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4277399 + ... + 4277558.

Almost surely, 2^684396560 is an apocalyptic number.

It is an amenable number.

684396560 is an abundant number, since it is smaller than the sum of its proper divisors (906825628).

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

684396560 is a wasteful number, since it uses less digits than its factorization.

684396560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8554970 (or 8554964 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The square root of 684396560 is about 26160.9739879845. The cubic root of 684396560 is about 881.2570533446.

The spelling of 684396560 in words is "six hundred eighty-four million, three hundred ninety-six thousand, five hundred sixty".