681348672 has 168 divisors, whose sum is σ = 2044756896. Its totient is φ = 224944128.

The previous prime is 681348641. The next prime is 681348677. The reversal of 681348672 is 276843186.

It is not an unprimeable number, because it can be changed into a prime (681348677) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3001423 + ... + 3001649.

It is an arithmetic number, because the mean of its divisors is an integer number (12171172).

Almost surely, 2^681348672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022378448).

681348672 is an abundant number, since it is smaller than the sum of its proper divisors (1363408224).

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

681348672 is a wasteful number, since it uses less digits than its factorization.

681348672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 425 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 681348672 is about 26102.6564165412. The cubic root of 681348672 is about 879.9469113979.

The spelling of 681348672 in words is "six hundred eighty-one million, three hundred forty-eight thousand, six hundred seventy-two".