8010144 has 96 divisors (see below), whose sum is σ = 23869440. Its totient is φ = 2612736.

The previous prime is 8010143. The next prime is 8010151. The reversal of 8010144 is 4410108.

8010144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8010143) 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 15 ways as a sum of consecutive naturals, for example, 63009 + ... + 63135.

It is an arithmetic number, because the mean of its divisors is an integer number (248640).

Almost surely, 2^8010144 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 8010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934720).

8010144 is an abundant number, since it is smaller than the sum of its proper divisors (15859296).

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

8010144 is a wasteful number, since it uses less digits than its factorization.

8010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8010144 is about 2830.2197794518. The cubic root of 8010144 is about 200.0844976291.

The spelling of 8010144 in words is "eight million, ten thousand, one hundred forty-four".