27402144 has 144 divisors (see below), whose sum is σ = 90627264. Its totient is φ = 7096320.

The previous prime is 27402119. The next prime is 27402149. The reversal of 27402144 is 44120472.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27402149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81144 + ... + 81480.

It is an arithmetic number, because the mean of its divisors is an integer number (629356).

Almost surely, 2^27402144 is an apocalyptic number.

27402144 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 27402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45313632).

27402144 is an abundant number, since it is smaller than the sum of its proper divisors (63225120).

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

27402144 is a wasteful number, since it uses less digits than its factorization.

27402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 27402144 is about 5234.7057223878. The cubic root of 27402144 is about 301.4820882131.

It can be divided in two parts, 2740 and 2144, that added together give a palindrome (4884).

The spelling of 27402144 in words is "twenty-seven million, four hundred two thousand, one hundred forty-four".