684006336 has 112 divisors (see below), whose sum is σ = 2165604000. Its totient is φ = 210456576.

The previous prime is 684006299. The next prime is 684006353. The reversal of 684006336 is 633600486.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 684006336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7240 + ... + 37688.

It is an arithmetic number, because the mean of its divisors is an integer number (19335750).

Almost surely, 2^684006336 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 684006336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082802000).

684006336 is an abundant number, since it is smaller than the sum of its proper divisors (1481597664).

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

684006336 is a wasteful number, since it uses less digits than its factorization.

684006336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30483 (or 30467 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 684006336 is about 26153.5147924710. The cubic root of 684006336 is about 881.0895320314.

The spelling of 684006336 in words is "six hundred eighty-four million, six thousand, three hundred thirty-six".