48564 has 36 divisors (see below), whose sum is σ = 131040. Its totient is φ = 15120.

The previous prime is 48563. The next prime is 48571. The reversal of 48564 is 46584.

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 14.

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 48564.

It is not an unprimeable number, because it can be changed into a prime (48563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 649 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2⁴⁸⁵⁶⁴ 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 48564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

48564 is an abundant number, since it is smaller than the sum of its proper divisors (82476).

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

48564 is a wasteful number, since it uses less digits than its factorization.

48564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 95 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 48564 is about 220.3724120665. The cubic root of 48564 is about 36.4841990780.

It can be divided in two parts, 48 and 564, that multiplied together give a palindrome (27072).

The spelling of 48564 in words is "forty-eight thousand, five hundred sixty-four".