8118144 has 128 divisors (see below), whose sum is σ = 25092000. Its totient is φ = 2612736.

The previous prime is 8118139. The next prime is 8118157. The reversal of 8118144 is 4418118.

8118144 = 12³ + 13³ + ... + 75³.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1024) is a multiple of the sum of its prime factors (64).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279922 + ... + 279950.

Almost surely, 2^8118144 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 8118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546000).

8118144 is an abundant number, since it is smaller than the sum of its proper divisors (16973856).

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

8118144 is an frugal number, since it uses more digits than its factorization.

8118144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 8118144 is about 2849.2356869870. The cubic root of 8118144 is about 200.9797261797.

It can be divided in two parts, 81181 and 44, that added together give a square (81225 = 285²).

The spelling of 8118144 in words is "eight million, one hundred eighteen thousand, one hundred forty-four".