4860 has 36 divisors (see below), whose sum is σ = 15288. Its totient is φ = 1296.

The previous prime is 4831. The next prime is 4861. The reversal of 4860 is 684.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

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 4860.

It is not an unprimeable number, because it can be changed into a prime (4861) by changing a digit.

4860 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 11 ways as a sum of consecutive naturals, for example, 970 + ... + 974.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644).

4860 is an abundant number, since it is smaller than the sum of its proper divisors (10428).

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

4860 is a wasteful number, since it uses less digits than its factorization.

4860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24 (or 10 counting only the distinct ones).

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

The square root of 4860 is about 69.7137002317. The cubic root of 4860 is about 16.9386485199.

The spelling of 4860 in words is "four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860

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