8002960 has 80 divisors (see below), whose sum is σ = 21998592. Its totient is φ = 2649600.

The previous prime is 8002931. The next prime is 8002961. The reversal of 8002960 is 692008.

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

It is not an unprimeable number, because it can be changed into a prime (8002961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17130 + ... + 17590.

Almost surely, 2^8002960 is an apocalyptic number.

8002960 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 8002960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999296).

8002960 is an abundant number, since it is smaller than the sum of its proper divisors (13995632).

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

8002960 is a wasteful number, since it uses less digits than its factorization.

8002960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 8002960 is about 2828.9503353718. The cubic root of 8002960 is about 200.0246636251.

Adding to 8002960 its reverse (692008), we get a palindrome (8694968).

It can be divided in two parts, 80029 and 60, that added together give a square (80089 = 283²).

The spelling of 8002960 in words is "eight million, two thousand, nine hundred sixty".