48816 has 40 divisors (see below), whose sum is σ = 141360. Its totient is φ = 16128.

The previous prime is 48809. The next prime is 48817. The reversal of 48816 is 61884.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

48816 is an undulating number in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 48816.

It is not an unprimeable number, because it can be changed into a prime (48817) by changing a digit.

48816 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 7 ways as a sum of consecutive naturals, for example, 376 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (3534).

2⁴⁸⁸¹⁶ 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 48816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70680).

48816 is an abundant number, since it is smaller than the sum of its proper divisors (92544).

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

48816 is a wasteful number, since it uses less digits than its factorization.

48816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 48816 is about 220.9434316743. The cubic root of 48816 is about 36.5471960935.

The spelling of 48816 in words is "forty-eight thousand, eight hundred sixteen".