684033630 has 144 divisors (see below), whose sum is σ = 2017074960. Its totient is φ = 148006656.

The previous prime is 684033577. The next prime is 684033671. The reversal of 684033630 is 36330486.

It is a junction number, because it is equal to n+sod(n) for n = 684033591 and 684033600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 530026 + ... + 531314.

It is an arithmetic number, because the mean of its divisors is an integer number (14007465).

Almost surely, 2^684033630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684033630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008537480).

684033630 is an abundant number, since it is smaller than the sum of its proper divisors (1333041330).

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

684033630 is a wasteful number, since it uses less digits than its factorization.

684033630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 684033630 is about 26154.0365909356. The cubic root of 684033630 is about 881.1012512882.

It can be divided in two parts, 6840 and 33630, that added together give a triangular number (40470 = T₂₈₄).

The spelling of 684033630 in words is "six hundred eighty-four million, thirty-three thousand, six hundred thirty".