681480 has 64 divisors (see below), whose sum is σ = 2275200. Its totient is φ = 181440.

The previous prime is 681451. The next prime is 681481. The reversal of 681480 is 84186.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 681480.

It is not an unprimeable number, because it can be changed into a prime (681481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765 + ... + 1395.

It is an arithmetic number, because the mean of its divisors is an integer number (35550).

2⁶⁸¹⁴⁸⁰ is an apocalyptic number.

681480 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 681480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137600).

681480 is an abundant number, since it is smaller than the sum of its proper divisors (1593720).

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

681480 is a wasteful number, since it uses less digits than its factorization.

681480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 681480 is about 825.5180191855. The cubic root of 681480 is about 88.0003443513. Note that the first 3 decimals are identical.

The spelling of 681480 in words is "six hundred eighty-one thousand, four hundred eighty".