61648 has 10 divisors (see below), whose sum is σ = 119474. Its totient is φ = 30816.

The previous prime is 61643. The next prime is 61651. The reversal of 61648 is 84616.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 144 = 248^2 + 12^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61643) by changing a digit.

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 as a sum of consecutive naturals, namely, 1911 + ... + 1942.

2⁶¹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

61648 is a deficient number, since it is larger than the sum of its proper divisors (57826).

61648 is a wasteful number, since it uses less digits than its factorization.

61648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3855 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 61648 is about 248.2901528454. The cubic root of 61648 is about 39.5038718632.

The spelling of 61648 in words is "sixty-one thousand, six hundred forty-eight".