8532800 has 42 divisors (see below), whose sum is σ = 20999958. Its totient is φ = 3412480.

The previous prime is 8532787. The next prime is 8532809. The reversal of 8532800 is 82358.

It can be written as a sum of positive squares in 3 ways, for example, as 2849344 + 5683456 = 1688^2 + 2384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8532800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8532809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1067 + ... + 4266.

It is an arithmetic number, because the mean of its divisors is an integer number (499999).

Almost surely, 2^8532800 is an apocalyptic number.

8532800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8532800 is an abundant number, since it is smaller than the sum of its proper divisors (12467158).

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

8532800 is a wasteful number, since it uses less digits than its factorization.

8532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 8532800 is about 2921.0956848416. The cubic root of 8532800 is about 204.3449246083.

The spelling of 8532800 in words is "eight million, five hundred thirty-two thousand, eight hundred".