8380960 has 72 divisors (see below), whose sum is σ = 23054220. Its totient is φ = 2870784.

The previous prime is 8380927. The next prime is 8380969. The reversal of 8380960 is 690838.

It can be written as a sum of positive squares in 2 ways, for example, as 8317456 + 63504 = 2884^2 + 252^2 .

It is not an unprimeable number, because it can be changed into a prime (8380969) 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, 7306 + ... + 8374.

Almost surely, 2^8380960 is an apocalyptic number.

8380960 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 8380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11527110).

8380960 is an abundant number, since it is smaller than the sum of its proper divisors (14673260).

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

8380960 is a wasteful number, since it uses less digits than its factorization.

8380960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 8380960 is about 2894.9887737261. The cubic root of 8380960 is about 203.1255663890.

The spelling of 8380960 in words is "eight million, three hundred eighty thousand, nine hundred sixty".