8505540 has 96 divisors (see below), whose sum is σ = 27888000. Its totient is φ = 2146176.

The previous prime is 8505533. The next prime is 8505547. The reversal of 8505540 is 455058.

8505540 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (8505533) and next prime (8505547).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8505547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9846 + ... + 10674.

It is an arithmetic number, because the mean of its divisors is an integer number (290500).

Almost surely, 2^8505540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8505540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944000).

8505540 is an abundant number, since it is smaller than the sum of its proper divisors (19382460).

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

8505540 is a wasteful number, since it uses less digits than its factorization.

8505540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 8505540 is about 2916.4258948240. The cubic root of 8505540 is about 204.1270834457.

It can be divided in two parts, 8505 and 540, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 8505540 in words is "eight million, five hundred five thousand, five hundred forty".