18824144 has 10 divisors (see below), whose sum is σ = 36471810. Its totient is φ = 9412064.

The previous prime is 18824137. The next prime is 18824147. The reversal of 18824144 is 44142881.

18824144 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 11641744 + 7182400 = 3412^2 + 2680^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 18824144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18824147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 588239 + ... + 588270.

It is an arithmetic number, because the mean of its divisors is an integer number (3647181).

Almost surely, 2^18824144 is an apocalyptic number.

It is an amenable number.

18824144 is a deficient number, since it is larger than the sum of its proper divisors (17647666).

18824144 is a wasteful number, since it uses less digits than its factorization.

18824144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176517 (or 1176511 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The square root of 18824144 is about 4338.6799835895. The cubic root of 18824144 is about 266.0143584312.

The spelling of 18824144 in words is "eighteen million, eight hundred twenty-four thousand, one hundred forty-four".