684116928 has 392 divisors, whose sum is σ = 2345350656. Its totient is φ = 195955200.

The previous prime is 684116921. The next prime is 684116933. The reversal of 684116928 is 829611486.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684116921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15909675 + ... + 15909717.

Almost surely, 2^684116928 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 684116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172675328).

684116928 is an abundant number, since it is smaller than the sum of its proper divisors (1661233728).

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

684116928 is a wasteful number, since it uses less digits than its factorization.

684116928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 684116928 is about 26155.6289926280. The cubic root of 684116928 is about 881.1370151210.

The spelling of 684116928 in words is "six hundred eighty-four million, one hundred sixteen thousand, nine hundred twenty-eight".