682641120 has 576 divisors, whose sum is σ = 2822238720. Its totient is φ = 135364608.

The previous prime is 682641107. The next prime is 682641161. The reversal of 682641120 is 21146286.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 18449742 + ... + 18449778.

It is an arithmetic number, because the mean of its divisors is an integer number (4899720).

Almost surely, 2^682641120 is an apocalyptic number.

682641120 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 682641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411119360).

682641120 is an abundant number, since it is smaller than the sum of its proper divisors (2139597600).

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

682641120 is a wasteful number, since it uses less digits than its factorization.

682641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 682641120 is about 26127.4017077856. The cubic root of 682641120 is about 880.5029494074.

The spelling of 682641120 in words is "six hundred eighty-two million, six hundred forty-one thousand, one hundred twenty".