8124144 has 40 divisors (see below), whose sum is σ = 23986560. Its totient is φ = 2321088.

The previous prime is 8124143. The next prime is 8124157. The reversal of 8124144 is 4414218.

It is a super-3 number, since 3×8124144³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8124143) 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, 11754 + ... + 12425.

It is an arithmetic number, because the mean of its divisors is an integer number (599664).

Almost surely, 2^8124144 is an apocalyptic number.

8124144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8124144 is an abundant number, since it is smaller than the sum of its proper divisors (15862416).

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

8124144 is a wasteful number, since it uses less digits than its factorization.

8124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24197 (or 24191 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 8124144 is about 2850.2884064599. The cubic root of 8124144 is about 201.0292276995.

The spelling of 8124144 in words is "eight million, one hundred twenty-four thousand, one hundred forty-four".