8541000 has 192 divisors, whose sum is σ = 31515120. Its totient is φ = 2073600.

The previous prime is 8540999. The next prime is 8541007. The reversal of 8541000 is 1458.

It can be written as a sum of positive squares in 8 ways, for example, as 2916 + 8538084 = 54^2 + 2922^2 .

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8541007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116964 + ... + 117036.

Almost surely, 2^8541000 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 8541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15757560).

8541000 is an abundant number, since it is smaller than the sum of its proper divisors (22974120).

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

8541000 is a wasteful number, since it uses less digits than its factorization.

8541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

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

The square root of 8541000 is about 2922.4989307098. The cubic root of 8541000 is about 204.4103619759.

Adding to 8541000 its reverse (1458), we get a palindrome (8542458).

The spelling of 8541000 in words is "eight million, five hundred forty-one thousand".