8440960 has 96 divisors (see below), whose sum is σ = 22383900. Its totient is φ = 3041280.

The previous prime is 8440919. The next prime is 8440961. The reversal of 8440960 is 690448.

It can be written as a sum of positive squares in 2 ways, for example, as 8433216 + 7744 = 2904^2 + 88^2 .

It is not an unprimeable number, because it can be changed into a prime (8440961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77386 + ... + 77494.

Almost surely, 2^8440960 is an apocalyptic number.

8440960 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 8440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11191950).

8440960 is an abundant number, since it is smaller than the sum of its proper divisors (13942940).

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

8440960 is a wasteful number, since it uses less digits than its factorization.

8440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 8440960 is about 2905.3330273826. Note that the first 3 decimals coincide. The cubic root of 8440960 is about 203.6091452489.

The spelling of 8440960 in words is "eight million, four hundred forty thousand, nine hundred sixty".