62544 has 20 divisors (see below), whose sum is σ = 161696. Its totient is φ = 20832.

The previous prime is 62539. The next prime is 62549. The reversal of 62544 is 44526.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (62539) and next prime (62549).

It is a self number, because there is not a number n which added to its sum of digits gives 62544.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 62544.

It is not an unprimeable number, because it can be changed into a prime (62549) by changing a digit.

62544 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 604 + ... + 699.

2⁶²⁵⁴⁴ is an apocalyptic number.

It is an amenable number.

62544 is an abundant number, since it is smaller than the sum of its proper divisors (99152).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80848).

62544 is a wasteful number, since it uses less digits than its factorization.

62544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1308 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 62544 is about 250.0879845174. The cubic root of 62544 is about 39.6943368675.

Adding to 62544 its product of digits (960), we get a square (63504 = 252²).

It can be divided in two parts, 62 and 544, that added together give a palindrome (606).

The spelling of 62544 in words is "sixty-two thousand, five hundred forty-four".