8440100 has 18 divisors (see below), whose sum is σ = 18315234. Its totient is φ = 3376000.

The previous prime is 8440097. The next prime is 8440139. The reversal of 8440100 is 10448.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 18496 + 8421604 = 136^2 + 2902^2 .

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42101 + ... + 42300.

It is an arithmetic number, because the mean of its divisors is an integer number (1017513).

Almost surely, 2^8440100 is an apocalyptic number.

It is an amenable number.

8440100 is an abundant number, since it is smaller than the sum of its proper divisors (9875134).

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

8440100 is a wasteful number, since it uses less digits than its factorization.

8440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84415 (or 84408 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 8440100 is about 2905.1850199256. The cubic root of 8440100 is about 203.6022301661.

Adding to 8440100 its reverse (10448), we get a palindrome (8450548).

The spelling of 8440100 in words is "eight million, four hundred forty thousand, one hundred".