684332616 has 128 divisors (see below), whose sum is σ = 1993559040. Its totient is φ = 193670400.

The previous prime is 684332611. The next prime is 684332653. The reversal of 684332616 is 616233486.

It is a super-2 number, since 2×684332616² = 936622258642806912, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (684332611) 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 31 ways as a sum of consecutive naturals, for example, 259786 + ... + 262406.

It is an arithmetic number, because the mean of its divisors is an integer number (15574680).

Almost surely, 2^684332616 is an apocalyptic number.

684332616 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684332616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996779520).

684332616 is an abundant number, since it is smaller than the sum of its proper divisors (1309226424).

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

684332616 is a wasteful number, since it uses less digits than its factorization.

684332616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2703 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 684332616 is about 26159.7518336853. The cubic root of 684332616 is about 881.2296068517.

The spelling of 684332616 in words is "six hundred eighty-four million, three hundred thirty-two thousand, six hundred sixteen".