61744 has 20 divisors (see below), whose sum is σ = 127224. Its totient is φ = 28928.

The previous prime is 61729. The next prime is 61751. The reversal of 61744 is 44716.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159 + ... + 385.

2⁶¹⁷⁴⁴ 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 61744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63612).

61744 is an abundant number, since it is smaller than the sum of its proper divisors (65480).

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

61744 is a wasteful number, since it uses less digits than its factorization.

61744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 61744 is about 248.4833998480. The cubic root of 61744 is about 39.5243667420.

The spelling of 61744 in words is "sixty-one thousand, seven hundred forty-four".