8100944 has 40 divisors (see below), whose sum is σ = 16452072. Its totient is φ = 3860480.

The previous prime is 8100943. The next prime is 8100977. The reversal of 8100944 is 4490018.

It can be written as a sum of positive squares in 4 ways, for example, as 35344 + 8065600 = 188^2 + 2840^2 .

It is a super-2 number, since 2×8100944² = 131250587382272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34652 + ... + 34884.

Almost surely, 2^8100944 is an apocalyptic number.

It is an amenable number.

8100944 is an abundant number, since it is smaller than the sum of its proper divisors (8351128).

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

8100944 is a wasteful number, since it uses less digits than its factorization.

8100944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 8100944 is about 2846.2157332149. The cubic root of 8100944 is about 200.8376865081.

The spelling of 8100944 in words is "eight million, one hundred thousand, nine hundred forty-four".