8295200 has 36 divisors (see below), whose sum is σ = 20252610. Its totient is φ = 3317760.

The previous prime is 8295179. The next prime is 8295211. The reversal of 8295200 is 25928.

It can be written as a sum of positive squares in 3 ways, for example, as 3952144 + 4343056 = 1988^2 + 2084^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8295200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4385 + ... + 5984.

Almost surely, 2^8295200 is an apocalyptic number.

8295200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8295200 is an abundant number, since it is smaller than the sum of its proper divisors (11957410).

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

8295200 is a wasteful number, since it uses less digits than its factorization.

8295200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10389 (or 10376 counting only the distinct ones).

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

The square root of 8295200 is about 2880.1388855401. The cubic root of 8295200 is about 202.4303474313.

The spelling of 8295200 in words is "eight million, two hundred ninety-five thousand, two hundred".