684045312 has 88 divisors (see below), whose sum is σ = 1868043072. Its totient is φ = 222412800.

The previous prime is 684045283. The next prime is 684045317. The reversal of 684045312 is 213540486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684045317) 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, 123237 + ... + 128667.

Almost surely, 2^684045312 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 684045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934021536).

684045312 is an abundant number, since it is smaller than the sum of its proper divisors (1183997760).

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

684045312 is a wasteful number, since it uses less digits than its factorization.

684045312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5495 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 684045312 is about 26154.2599207089. The cubic root of 684045312 is about 881.1062671070.

Adding to 684045312 its reverse (213540486), we get a palindrome (897585798).

The spelling of 684045312 in words is "six hundred eighty-four million, forty-five thousand, three hundred twelve".