682149120 has 144 divisors (see below), whose sum is σ = 2188976832. Its totient is φ = 181043200.

The previous prime is 682149109. The next prime is 682149151. The reversal of 682149120 is 21941286.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1539619 + ... + 1540061.

It is an arithmetic number, because the mean of its divisors is an integer number (15201228).

Almost surely, 2^682149120 is an apocalyptic number.

682149120 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 682149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094488416).

682149120 is an abundant number, since it is smaller than the sum of its proper divisors (1506827712).

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

682149120 is a wasteful number, since it uses less digits than its factorization.

682149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 682149120 is about 26117.9846083116. The cubic root of 682149120 is about 880.2913635754.

The spelling of 682149120 in words is "six hundred eighty-two million, one hundred forty-nine thousand, one hundred twenty".