681825984 has 252 divisors, whose sum is σ = 2209748184. Its totient is φ = 184977408.

The previous prime is 681825983. The next prime is 681826003. The reversal of 681825984 is 489528186.

It is not an unprimeable number, because it can be changed into a prime (681825983) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4976764 + ... + 4976900.

It is an arithmetic number, because the mean of its divisors is an integer number (8768842).

Almost surely, 2^681825984 is an apocalyptic number.

681825984 is a gapful number since it is divisible by the number (64) 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 681825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104874092).

681825984 is an abundant number, since it is smaller than the sum of its proper divisors (1527922200).

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

681825984 is a wasteful number, since it uses less digits than its factorization.

681825984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 172 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 681825984 is about 26111.7977933347. The cubic root of 681825984 is about 880.1523427714.

The spelling of 681825984 in words is "six hundred eighty-one million, eight hundred twenty-five thousand, nine hundred eighty-four".