8681040 has 80 divisors (see below), whose sum is σ = 29908800. Its totient is φ = 2314368.

The previous prime is 8681021. The next prime is 8681047. The reversal of 8681040 is 401868.

8681040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 8680995 and 8681013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8681047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151 + ... + 4169.

It is an arithmetic number, because the mean of its divisors is an integer number (373860).

Almost surely, 2^8681040 is an apocalyptic number.

8681040 is a gapful number since it is divisible by the number (80) 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 8681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14954400).

8681040 is an abundant number, since it is smaller than the sum of its proper divisors (21227760).

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

8681040 is a wasteful number, since it uses less digits than its factorization.

8681040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4029 counting only the distinct ones).

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

The square root of 8681040 is about 2946.3604667454. The cubic root of 8681040 is about 205.5214959665.

The spelling of 8681040 in words is "eight million, six hundred eighty-one thousand, forty".