684516480 has 128 divisors (see below), whose sum is σ = 2189246400. Its totient is φ = 181923840.

The previous prime is 684516463. The next prime is 684516517. The reversal of 684516480 is 84615486.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×684516480² = 937125622783180800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038391 + ... + 1039049.

Almost surely, 2^684516480 is an apocalyptic number.

684516480 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 684516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094623200).

684516480 is an abundant number, since it is smaller than the sum of its proper divisors (1504729920).

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

684516480 is a wasteful number, since it uses less digits than its factorization.

684516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 684516480 is about 26163.2658511891. The cubic root of 684516480 is about 881.3085216405.

The spelling of 684516480 in words is "six hundred eighty-four million, five hundred sixteen thousand, four hundred eighty".