8679440 has 80 divisors (see below), whose sum is σ = 25176960. Its totient is φ = 2703360.

The previous prime is 8679427. The next prime is 8679449. The reversal of 8679440 is 449768.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 8679394 and 8679403.

It is not an unprimeable number, because it can be changed into a prime (8679449) 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, 5456 + ... + 6864.

It is an arithmetic number, because the mean of its divisors is an integer number (314712).

Almost surely, 2^8679440 is an apocalyptic number.

8679440 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 8679440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12588480).

8679440 is an abundant number, since it is smaller than the sum of its proper divisors (16497520).

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

8679440 is a wasteful number, since it uses less digits than its factorization.

8679440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 8679440 is about 2946.0889328057. The cubic root of 8679440 is about 205.5088686547.

It can be divided in two parts, 8679 and 440, that added together give a palindrome (9119).

The spelling of 8679440 in words is "eight million, six hundred seventy-nine thousand, four hundred forty".