48680 has 16 divisors (see below), whose sum is σ = 109620. Its totient is φ = 19456.

The previous prime is 48679. The next prime is 48731. The reversal of 48680 is 8684.

48680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47524 + 1156 = 218^2 + 34^2 .

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48680.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 569 + ... + 648.

2⁴⁸⁶⁸⁰ is an apocalyptic number.

48680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48680 is an abundant number, since it is smaller than the sum of its proper divisors (60940).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54810).

48680 is a wasteful number, since it uses less digits than its factorization.

48680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1224 counting only the distinct ones).

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

The square root of 48680 is about 220.6354459283. The cubic root of 48680 is about 36.5132247068.

It can be divided in two parts, 48 and 680, that multiplied together give a triangular number (32640 = T₂₅₅).

The spelling of 48680 in words is "forty-eight thousand, six hundred eighty".