61568 has 32 divisors (see below), whose sum is σ = 135660. Its totient is φ = 27648.

The previous prime is 61561. The next prime is 61583. The reversal of 61568 is 86516.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 64 = 248^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (61561) by changing a digit.

61568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1646 + ... + 1682.

2⁶¹⁵⁶⁸ 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 61568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67830).

61568 is an abundant number, since it is smaller than the sum of its proper divisors (74092).

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

61568 is a wasteful number, since it uses less digits than its factorization.

61568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 52 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 61568 is about 248.1289987083. The cubic root of 61568 is about 39.4867765382.

The spelling of 61568 in words is "sixty-one thousand, five hundred sixty-eight".