8045600 has 72 divisors (see below), whose sum is σ = 20037780. Its totient is φ = 3153920.

The previous prime is 8045593. The next prime is 8045603. The reversal of 8045600 is 65408.

It can be written as a sum of positive squares in 6 ways, for example, as 183184 + 7862416 = 428^2 + 2804^2 .

It is not an unprimeable number, because it can be changed into a prime (8045603) 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, 71144 + ... + 71256.

Almost surely, 2^8045600 is an apocalyptic number.

8045600 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 8045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10018890).

8045600 is an abundant number, since it is smaller than the sum of its proper divisors (11992180).

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

8045600 is a wasteful number, since it uses less digits than its factorization.

8045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 8045600 is about 2836.4766877237. The cubic root of 8045600 is about 200.3792802777.

The spelling of 8045600 in words is "eight million, forty-five thousand, six hundred".