680481984 has 448 divisors, whose sum is σ = 2457907200. Its totient is φ = 161021952.

The previous prime is 680481959. The next prime is 680482031. The reversal of 680481984 is 489184086.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8613657 + ... + 8613735.

It is an arithmetic number, because the mean of its divisors is an integer number (5486400).

Almost surely, 2^680481984 is an apocalyptic number.

680481984 is a gapful number since it is divisible by the number (64) 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 680481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228953600).

680481984 is an abundant number, since it is smaller than the sum of its proper divisors (1777425216).

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

680481984 is a wasteful number, since it uses less digits than its factorization.

680481984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 680481984 is about 26086.0496051050. The cubic root of 680481984 is about 879.5736502212.

It can be divided in two parts, 6804 and 81984, that added together give a palindrome (88788).

The spelling of 680481984 in words is "six hundred eighty million, four hundred eighty-one thousand, nine hundred eighty-four".