684006120 has 256 divisors, whose sum is σ = 2640268800. Its totient is φ = 156204288.

The previous prime is 684006091. The next prime is 684006121. The reversal of 684006120 is 21600486.

684006120 is a `hidden beast` number, since 6 + 8 + 40 + 0 + 612 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (684006121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 611802 + ... + 612918.

It is an arithmetic number, because the mean of its divisors is an integer number (10313550).

Almost surely, 2^684006120 is an apocalyptic number.

684006120 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 684006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320134400).

684006120 is an abundant number, since it is smaller than the sum of its proper divisors (1956262680).

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

684006120 is a wasteful number, since it uses less digits than its factorization.

684006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 684006120 is about 26153.5106630066. The cubic root of 684006120 is about 881.0894392860.

The spelling of 684006120 in words is "six hundred eighty-four million, six thousand, one hundred twenty".