681130272 has 48 divisors (see below), whose sum is σ = 1795832640. Its totient is φ = 226044672.

The previous prime is 681130271. The next prime is 681130291. The reversal of 681130272 is 272031186.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (681130271) 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 7 ways as a sum of consecutive naturals, for example, 6493 + ... + 37475.

It is an arithmetic number, because the mean of its divisors is an integer number (37413180).

Almost surely, 2^681130272 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 681130272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897916320).

681130272 is an abundant number, since it is smaller than the sum of its proper divisors (1114702368).

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

681130272 is a wasteful number, since it uses less digits than its factorization.

681130272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31225 (or 31217 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 681130272 is about 26098.4725989856. The cubic root of 681130272 is about 879.8528817423.

The spelling of 681130272 in words is "six hundred eighty-one million, one hundred thirty thousand, two hundred seventy-two".