681045120 has 576 divisors, whose sum is σ = 2902348800. Its totient is φ = 146313216.

The previous prime is 681045091. The next prime is 681045161. The reversal of 681045120 is 21540186.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5362497 + ... + 5362623.

It is an arithmetic number, because the mean of its divisors is an integer number (5038800).

Almost surely, 2^681045120 is an apocalyptic number.

681045120 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 681045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451174400).

681045120 is an abundant number, since it is smaller than the sum of its proper divisors (2221303680).

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

681045120 is a wasteful number, since it uses less digits than its factorization.

681045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 681045120 is about 26096.8411881592. The cubic root of 681045120 is about 879.8162150634.

The spelling of 681045120 in words is "six hundred eighty-one million, forty-five thousand, one hundred twenty".