681440760 has 768 divisors, whose sum is σ = 3119800320. Its totient is φ = 124416000.

The previous prime is 681440743. The next prime is 681440761. The reversal of 681440760 is 67044186.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681440761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11171130 + ... + 11171190.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^681440760 is an apocalyptic number.

681440760 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 681440760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

681440760 is an abundant number, since it is smaller than the sum of its proper divisors (2438359560).

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

681440760 is a wasteful number, since it uses less digits than its factorization.

681440760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 681440760 is about 26104.4203153412. The cubic root of 681440760 is about 879.9865528248.

It can be divided in two parts, 6814 and 40760, that added together give a palindrome (47574).

The spelling of 681440760 in words is "six hundred eighty-one million, four hundred forty thousand, seven hundred sixty".