48906 has 48 divisors (see below), whose sum is σ = 131040. Its totient is φ = 12960.

The previous prime is 48889. The next prime is 48907. The reversal of 48906 is 60984.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 48906.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48906.

It is not an unprimeable number, because it can be changed into a prime (48907) by changing a digit.

48906 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 23 ways as a sum of consecutive naturals, for example, 2565 + ... + 2583.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

2⁴⁸⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

48906 is an abundant number, since it is smaller than the sum of its proper divisors (82134).

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

48906 is a wasteful number, since it uses less digits than its factorization.

48906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48906 is about 221.1470099278. The cubic root of 48906 is about 36.5696424793.

The spelling of 48906 in words is "forty-eight thousand, nine hundred six".