4680 has 48 divisors (see below), whose sum is σ = 16380. Its totient is φ = 1152.

The previous prime is 4679. The next prime is 4691. The reversal of 4680 is 864.

It can be written as a sum of positive squares in 2 ways, for example, as 4356 + 324 = 66^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354 + ... + 366.

2⁴⁶⁸⁰ is an apocalyptic number.

4680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190).

4680 is an abundant number, since it is smaller than the sum of its proper divisors (11700).

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

4680 is a wasteful number, since it uses less digits than its factorization.

4680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4680 is about 68.4105255059. The cubic root of 4680 is about 16.7268932147.

The spelling of 4680 in words is "four thousand, six hundred eighty".