24162144 has 96 divisors (see below), whose sum is σ = 68511744. Its totient is φ = 7434240.

The previous prime is 24162137. The next prime is 24162169. The reversal of 24162144 is 44126142.

It is a happy number.

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 (24).

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

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, 68272 + ... + 68624.

It is an arithmetic number, because the mean of its divisors is an integer number (713664).

Almost surely, 2^24162144 is an apocalyptic number.

24162144 is a gapful number since it is divisible by the number (24) 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 24162144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34255872).

24162144 is an abundant number, since it is smaller than the sum of its proper divisors (44349600).

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

24162144 is a wasteful number, since it uses less digits than its factorization.

24162144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 24162144 is about 4915.5003814464. The cubic root of 24162144 is about 289.0980458591.

Adding to 24162144 its reverse (44126142), we get a palindrome (68288286).

It can be divided in two parts, 2416 and 2144, that added together give a triangular number (4560 = T₉₅).

The spelling of 24162144 in words is "twenty-four million, one hundred sixty-two thousand, one hundred forty-four".