682110720 has 504 divisors, whose sum is σ = 2654101296. Its totient is φ = 167215104.

The previous prime is 682110707. The next prime is 682110733. The reversal of 682110720 is 27011286.

It is an interprime number because it is at equal distance from previous prime (682110707) and next prime (682110733).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15863019 + ... + 15863061.

It is an arithmetic number, because the mean of its divisors is an integer number (5266074).

Almost surely, 2^682110720 is an apocalyptic number.

682110720 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 682110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327050648).

682110720 is an abundant number, since it is smaller than the sum of its proper divisors (1971990576).

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

682110720 is an equidigital number, since it uses as much as digits as its factorization.

682110720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 682110720 is about 26117.2494723315. The cubic root of 682110720 is about 880.2748452797.

The spelling of 682110720 in words is "six hundred eighty-two million, one hundred ten thousand, seven hundred twenty".