684308880 has 360 divisors, whose sum is σ = 2535534144. Its totient is φ = 164989440.

The previous prime is 684308869. The next prime is 684308899. The reversal of 684308880 is 88803486.

684308880 is a `hidden beast` number, since 68 + 430 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 15914139 + ... + 15914181.

Almost surely, 2^684308880 is an apocalyptic number.

684308880 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 684308880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267767072).

684308880 is an abundant number, since it is smaller than the sum of its proper divisors (1851225264).

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

684308880 is a wasteful number, since it uses less digits than its factorization.

684308880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 107 counting only the distinct ones).

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

The square root of 684308880 is about 26159.2981557228. The cubic root of 684308880 is about 881.2194182838.

The spelling of 684308880 in words is "six hundred eighty-four million, three hundred eight thousand, eight hundred eighty".