8019144 has 72 divisors (see below), whose sum is σ = 25275510. Its totient is φ = 2290176.

The previous prime is 8019131. The next prime is 8019169. The reversal of 8019144 is 4419108.

8019144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5336100 + 2683044 = 2310^2 + 1638^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2392 + ... + 4664.

Almost surely, 2^8019144 is an apocalyptic number.

8019144 is a gapful number since it is divisible by the number (84) 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 8019144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12637755).

8019144 is an abundant number, since it is smaller than the sum of its proper divisors (17256366).

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

8019144 is a wasteful number, since it uses less digits than its factorization.

8019144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8019144 is about 2831.8093156143. The cubic root of 8019144 is about 200.1594062478.

The spelling of 8019144 in words is "eight million, nineteen thousand, one hundred forty-four".