48608 has 36 divisors (see below), whose sum is σ = 114912. Its totient is φ = 20160.

The previous prime is 48593. The next prime is 48611. The reversal of 48608 is 80684.

It is a plaindrome in base 11.

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 48608.

It is an unprimeable number.

48608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1553 + ... + 1583.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

2⁴⁸⁶⁰⁸ 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 48608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456).

48608 is an abundant number, since it is smaller than the sum of its proper divisors (66304).

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

48608 is a wasteful number, since it uses less digits than its factorization.

48608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 48608 is about 220.4722204723. The cubic root of 48608 is about 36.4952142346.

It can be divided in two parts, 48 and 608, that added together give a palindrome (656).

The spelling of 48608 in words is "forty-eight thousand, six hundred eight".