5814144 has 144 divisors (see below), whose sum is σ = 19651320. Its totient is φ = 1645056.

The previous prime is 5814139. The next prime is 5814161. The reversal of 5814144 is 4414185.

It is a happy number.

5814144 is a `hidden beast` number, since 581 + 41 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56397 + ... + 56499.

Almost surely, 2^5814144 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 5814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9825660).

5814144 is an abundant number, since it is smaller than the sum of its proper divisors (13837176).

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

5814144 is a wasteful number, since it uses less digits than its factorization.

5814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 5814144 is about 2411.2536158604. The cubic root of 5814144 is about 179.8161084931.

It can be divided in two parts, 58141 and 44, that added together give a palindrome (58185).

The spelling of 5814144 in words is "five million, eight hundred fourteen thousand, one hundred forty-four".