5958144 has 80 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 1981440.

The previous prime is 5958133. The next prime is 5958163. The reversal of 5958144 is 4418595.

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 = 5958099 and 5958108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13609 + ... + 14039.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 2^5958144 is an apocalyptic number.

5958144 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 5958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720).

5958144 is an abundant number, since it is smaller than the sum of its proper divisors (11719296).

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

5958144 is an equidigital number, since it uses as much as digits as its factorization.

5958144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 436 counting only the distinct ones).

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

The square root of 5958144 is about 2440.9309699375. The cubic root of 5958144 is about 181.2885318000.

The spelling of 5958144 in words is "five million, nine hundred fifty-eight thousand, one hundred forty-four".