684038880 has 288 divisors, whose sum is σ = 2704665600. Its totient is φ = 154192896.

The previous prime is 684038879. The next prime is 684038881. The reversal of 684038880 is 88830486.

It is an interprime number because it is at equal distance from previous prime (684038879) and next prime (684038881).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684038881) 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 47 ways as a sum of consecutive naturals, for example, 795891 + ... + 796749.

It is an arithmetic number, because the mean of its divisors is an integer number (9391200).

Almost surely, 2^684038880 is an apocalyptic number.

684038880 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 684038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352332800).

684038880 is an abundant number, since it is smaller than the sum of its proper divisors (2020626720).

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

684038880 is a wasteful number, since it uses less digits than its factorization.

684038880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 684038880 is about 26154.1369576593. The cubic root of 684038880 is about 881.1035054512.

The spelling of 684038880 in words is "six hundred eighty-four million, thirty-eight thousand, eight hundred eighty".