8259200 has 96 divisors (see below), whose sum is σ = 21343500. Its totient is φ = 3153920.

The previous prime is 8259197. The next prime is 8259203. The reversal of 8259200 is 29528.

It is an interprime number because it is at equal distance from previous prime (8259197) and next prime (8259203).

It can be written as a sum of positive squares in 6 ways, for example, as 1827904 + 6431296 = 1352^2 + 2536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8259200.

It is not an unprimeable number, because it can be changed into a prime (8259203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92756 + ... + 92844.

Almost surely, 2^8259200 is an apocalyptic number.

8259200 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 8259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10671750).

8259200 is an abundant number, since it is smaller than the sum of its proper divisors (13084300).

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

8259200 is a wasteful number, since it uses less digits than its factorization.

8259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 8259200 is about 2873.8823914698. The cubic root of 8259200 is about 202.1370830443.

It can be divided in two parts, 8 and 259200, that multiplied together give a square (2073600 = 1440²).

The spelling of 8259200 in words is "eight million, two hundred fifty-nine thousand, two hundred".