48546 has 32 divisors (see below), whose sum is σ = 115200. Its totient is φ = 15120.

The previous prime is 48541. The next prime is 48563. The reversal of 48546 is 64584.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1551 + ... + 1581.

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

2⁴⁸⁵⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600).

48546 is an abundant number, since it is smaller than the sum of its proper divisors (66654).

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

48546 is a wasteful number, since it uses less digits than its factorization.

48546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

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

The square root of 48546 is about 220.3315683237. The cubic root of 48546 is about 36.4796909600.

The spelling of 48546 in words is "forty-eight thousand, five hundred forty-six".