684616896 has 168 divisors, whose sum is σ = 2114970624. Its totient is φ = 211115520.

The previous prime is 684616871. The next prime is 684616909. The reversal of 684616896 is 698616486.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 409855 + ... + 411521.

Almost surely, 2^684616896 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 684616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057485312).

684616896 is an abundant number, since it is smaller than the sum of its proper divisors (1430353728).

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

684616896 is a wasteful number, since it uses less digits than its factorization.

684616896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1726 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 684616896 is about 26165.1848072969. The cubic root of 684616896 is about 881.3516144182.

It can be divided in two parts, 68461 and 6896, that added together give a palindrome (75357).

The spelling of 684616896 in words is "six hundred eighty-four million, six hundred sixteen thousand, eight hundred ninety-six".