61344 has 48 divisors (see below), whose sum is σ = 181440. Its totient is φ = 20160.

The previous prime is 61343. The next prime is 61357. The reversal of 61344 is 44316.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 829 + ... + 899.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁶¹³⁴⁴ 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 61344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

61344 is an abundant number, since it is smaller than the sum of its proper divisors (120096).

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

61344 is a wasteful number, since it uses less digits than its factorization.

61344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 61344 is about 247.6772092866. The cubic root of 61344 is about 39.4388307087.

The spelling of 61344 in words is "sixty-one thousand, three hundred forty-four".