8001960 has 32 divisors (see below), whose sum is σ = 24006240. Its totient is φ = 2133824.

The previous prime is 8001949. The next prime is 8001971. The reversal of 8001960 is 691008.

It is an interprime number because it is at equal distance from previous prime (8001949) and next prime (8001971).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8001960.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33222 + ... + 33461.

It is an arithmetic number, because the mean of its divisors is an integer number (750195).

Almost surely, 2^8001960 is an apocalyptic number.

It is an amenable number.

8001960 is an abundant number, since it is smaller than the sum of its proper divisors (16004280).

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

8001960 is a wasteful number, since it uses less digits than its factorization.

8001960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66697 (or 66693 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 8001960 is about 2828.7735858495. The cubic root of 8001960 is about 200.0163319996.

Adding to 8001960 its reverse (691008), we get a palindrome (8692968).

The spelling of 8001960 in words is "eight million, one thousand, nine hundred sixty".