48678 has 32 divisors (see below), whose sum is σ = 119040. Its totient is φ = 12960.

The previous prime is 48677. The next prime is 48679. The reversal of 48678 is 87684.

48678 is nontrivially palindromic in base 5 and base 11.

It is an interprime number because it is at equal distance from previous prime (48677) and next prime (48679).

It is a nialpdrome in base 15.

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 48678.

It is not an unprimeable number, because it can be changed into a prime (48673) 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, 768 + ... + 828.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2⁴⁸⁶⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520).

48678 is an abundant number, since it is smaller than the sum of its proper divisors (70362).

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

48678 is a wasteful number, since it uses less digits than its factorization.

48678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92.

The product of its digits is 10752, while the sum is 33.

The square root of 48678 is about 220.6309135185. The cubic root of 48678 is about 36.5127246558.

The spelling of 48678 in words is "forty-eight thousand, six hundred seventy-eight".