5985144 has 96 divisors (see below), whose sum is σ = 18354000. Its totient is φ = 1805760.

The previous prime is 5985143. The next prime is 5985151. The reversal of 5985144 is 4415895.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5985099 and 5985108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5985143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26022 + ... + 26250.

Almost surely, 2^5985144 is an apocalyptic number.

5985144 is a gapful number since it is divisible by the number (54) 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 5985144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9177000).

5985144 is an abundant number, since it is smaller than the sum of its proper divisors (12368856).

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

5985144 is a wasteful number, since it uses less digits than its factorization.

5985144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 5985144 is about 2446.4553950563. The cubic root of 5985144 is about 181.5619623153.

It can be divided in two parts, 59851 and 44, that added together give a palindrome (59895).

The spelling of 5985144 in words is "five million, nine hundred eighty-five thousand, one hundred forty-four".