684385776 has 120 divisors (see below), whose sum is σ = 2065649040. Its totient is φ = 210816000.

The previous prime is 684385763. The next prime is 684385777. The reversal of 684385776 is 677583486.

684385776 is a `hidden beast` number, since 68 + 4 + 3 + 8 + 577 + 6 = 666.

684385776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×684385776² = 936767780782244352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684385777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109126 + ... + 115226.

It is an arithmetic number, because the mean of its divisors is an integer number (17213742).

Almost surely, 2^684385776 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 684385776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032824520).

684385776 is an abundant number, since it is smaller than the sum of its proper divisors (1381263264).

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

684385776 is a wasteful number, since it uses less digits than its factorization.

684385776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6175 (or 6166 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 684385776 is about 26160.7678786384. The cubic root of 684385776 is about 881.2524246802.

The spelling of 684385776 in words is "six hundred eighty-four million, three hundred eighty-five thousand, seven hundred seventy-six".