8526400 has 63 divisors (see below), whose sum is σ = 21271611. Its totient is φ = 3363840.

The previous prime is 8526389. The next prime is 8526403. The reversal of 8526400 is 46258.

The square root of 8526400 is 2920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 8479744 = 216^2 + 2912^2 .

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

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8526403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 116764 + ... + 116836.

Almost surely, 2^8526400 is an apocalyptic number.

8526400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8526400 is the 2920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8526400

8526400 is an abundant number, since it is smaller than the sum of its proper divisors (12745211).

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

8526400 is an equidigital number, since it uses as much as digits as its factorization.

8526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 8526400 is about 204.2938224056.

Multiplying 8526400 by its sum of digits (25), we get a square (213160000 = 14600²).

8526400 divided by its sum of digits (25) gives a square (341056 = 584²).

The spelling of 8526400 in words is "eight million, five hundred twenty-six thousand, four hundred".