8241800 has 108 divisors (see below), whose sum is σ = 23085855. Its totient is φ = 2728320.

The previous prime is 8241791. The next prime is 8241803. The reversal of 8241800 is 81428.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 3161284 + 5080516 = 1778^2 + 2254^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2030.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8241803) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 284186 + ... + 284214.

Almost surely, 2^8241800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8241800

8241800 is an abundant number, since it is smaller than the sum of its proper divisors (14844055).

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

8241800 is a wasteful number, since it uses less digits than its factorization.

8241800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 8241800 is about 2870.8535316174. The cubic root of 8241800 is about 201.9950330446.

Multiplying 8241800 by its product of nonzero digits (512), we get a square (4219801600 = 64960²).

The spelling of 8241800 in words is "eight million, two hundred forty-one thousand, eight hundred".