8530900 has 54 divisors (see below), whose sum is σ = 21546798. Its totient is φ = 2923200.

The previous prime is 8530897. The next prime is 8530913. The reversal of 8530900 is 90358.

8530900 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 3 ways, for example, as 132496 + 8398404 = 364^2 + 2898^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4030 + ... + 5770.

Almost surely, 2^8530900 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 8530900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10773399).

8530900 is an abundant number, since it is smaller than the sum of its proper divisors (13015898).

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

8530900 is a wasteful number, since it uses less digits than its factorization.

8530900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 8530900 is about 2920.7704463035. The cubic root of 8530900 is about 204.3297563096.

The spelling of 8530900 in words is "eight million, five hundred thirty thousand, nine hundred".