8001540 has 36 divisors (see below), whose sum is σ = 24271884. Its totient is φ = 2133696.

The previous prime is 8001533. The next prime is 8001541. The reversal of 8001540 is 451008.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 5875776 = 1458^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8001541) 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, 22047 + ... + 22406.

It is an arithmetic number, because the mean of its divisors is an integer number (674219).

Almost surely, 2^8001540 is an apocalyptic number.

It is an amenable number.

8001540 is an abundant number, since it is smaller than the sum of its proper divisors (16270344).

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

8001540 is a wasteful number, since it uses less digits than its factorization.

8001540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44468 (or 44463 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8001540 is about 2828.6993477568. The cubic root of 8001540 is about 200.0128325099.

Adding to 8001540 its reverse (451008), we get a palindrome (8452548).

The spelling of 8001540 in words is "eight million, one thousand, five hundred forty".