684968960 has 176 divisors, whose sum is σ = 1819897632. Its totient is φ = 245760000.

The previous prime is 684968959. The next prime is 684968969. The reversal of 684968960 is 69869486.

It is a junction number, because it is equal to n+sod(n) for n = 684968896 and 684968905.

It is not an unprimeable number, because it can be changed into a prime (684968969) 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 15 ways as a sum of consecutive naturals, for example, 2728835 + ... + 2729085.

Almost surely, 2^684968960 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 684968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909948816).

684968960 is an abundant number, since it is smaller than the sum of its proper divisors (1134928672).

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

684968960 is a wasteful number, since it uses less digits than its factorization.

684968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 56.

The square root of 684968960 is about 26171.9116611684. The cubic root of 684968960 is about 881.5026667817.

The spelling of 684968960 in words is "six hundred eighty-four million, nine hundred sixty-eight thousand, nine hundred sixty".