48664 has 32 divisors (see below), whose sum is σ = 115200. Its totient is φ = 18720.

The previous prime is 48661. The next prime is 48673. The reversal of 48664 is 46684.

48664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 4⁴ + 8³ + 6³ + 6⁶ + 4⁵ .

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577 + ... + 655.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2⁴⁸⁶⁶⁴ is an apocalyptic number.

48664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600).

48664 is an abundant number, since it is smaller than the sum of its proper divisors (66536).

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

48664 is a wasteful number, since it uses less digits than its factorization.

48664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 48664 is about 220.5991840420. The cubic root of 48664 is about 36.5092239152.

It can be divided in two parts, 4 and 8664, that added together give a palindrome (8668).

The spelling of 48664 in words is "forty-eight thousand, six hundred sixty-four".