5461344 has 180 divisors, whose sum is σ = 19118484. Its totient is φ = 1524096.

The previous prime is 5461343. The next prime is 5461361. The reversal of 5461344 is 4431645.

5461344 is a `hidden beast` number, since 5 + 4 + 613 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461343) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126987 + ... + 127029.

Almost surely, 2^5461344 is an apocalyptic number.

5461344 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 5461344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9559242).

5461344 is an abundant number, since it is smaller than the sum of its proper divisors (13657140).

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

5461344 is a wasteful number, since it uses less digits than its factorization.

5461344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 55 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 5461344 is about 2336.9518608649. The cubic root of 5461344 is about 176.1029012579.

Adding to 5461344 its reverse (4431645), we get a palindrome (9892989).

The spelling of 5461344 in words is "five million, four hundred sixty-one thousand, three hundred forty-four".