682318080 has 180 divisors, whose sum is σ = 2441829852. Its totient is φ = 181923840.

The previous prime is 682318051. The next prime is 682318081. The reversal of 682318080 is 80813286.

It can be written as a sum of positive squares in 2 ways, for example, as 203233536 + 479084544 = 14256^2 + 21888^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (682318081) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 100390 + ... + 106970.

Almost surely, 2^682318080 is an apocalyptic number.

682318080 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 682318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220914926).

682318080 is an abundant number, since it is smaller than the sum of its proper divisors (1759511772).

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

682318080 is an equidigital number, since it uses as much as digits as its factorization.

682318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 682318080 is about 26121.2189608372. The cubic root of 682318080 is about 880.3640367130.

The spelling of 682318080 in words is "six hundred eighty-two million, three hundred eighteen thousand, eighty".