684566400 has 384 divisors, whose sum is σ = 2634831360. Its totient is φ = 152985600.

The previous prime is 684566383. The next prime is 684566429. The reversal of 684566400 is 4665486.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 4099117 + ... + 4099283.

It is an arithmetic number, because the mean of its divisors is an integer number (6861540).

Almost surely, 2^684566400 is an apocalyptic number.

684566400 is a gapful number since it is divisible by the number (60) 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 684566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317415680).

684566400 is an abundant number, since it is smaller than the sum of its proper divisors (1950264960).

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

684566400 is a wasteful number, since it uses less digits than its factorization.

684566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 684566400 is about 26164.2198431369. The cubic root of 684566400 is about 881.3299449630.

The spelling of 684566400 in words is "six hundred eighty-four million, five hundred sixty-six thousand, four hundred".