681825060 has 192 divisors, whose sum is σ = 2464842240. Its totient is φ = 153239040.

The previous prime is 681825059. The next prime is 681825073. The reversal of 681825060 is 60528186.

It is a happy number.

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

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 63 ways as a sum of consecutive naturals, for example, 229102 + ... + 232058.

It is an arithmetic number, because the mean of its divisors is an integer number (12837720).

Almost surely, 2^681825060 is an apocalyptic number.

681825060 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 681825060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232421120).

681825060 is an abundant number, since it is smaller than the sum of its proper divisors (1783017180).

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

681825060 is a wasteful number, since it uses less digits than its factorization.

681825060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 681825060 is about 26111.7801001770. The cubic root of 681825060 is about 880.1519451816.

It can be divided in two parts, 6818 and 25060, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 681825060 in words is "six hundred eighty-one million, eight hundred twenty-five thousand, sixty".