8520400 has 120 divisors (see below), whose sum is σ = 24909120. Its totient is φ = 2734080.

The previous prime is 8520389. The next prime is 8520401. The reversal of 8520400 is 40258.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8520401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47511 + ... + 47689.

It is an arithmetic number, because the mean of its divisors is an integer number (207576).

Almost surely, 2^8520400 is an apocalyptic number.

8520400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454560).

8520400 is an abundant number, since it is smaller than the sum of its proper divisors (16388720).

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

8520400 is a wasteful number, since it uses less digits than its factorization.

8520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 8520400 is about 2918.9724219321. The cubic root of 8520400 is about 204.2458908609.

Adding to 8520400 its reverse (40258), we get a palindrome (8560658).

The spelling of 8520400 in words is "eight million, five hundred twenty thousand, four hundred".