4896 has 36 divisors (see below), whose sum is σ = 14742. Its totient is φ = 1536.

The previous prime is 4889. The next prime is 4903. The reversal of 4896 is 6984.

4896 = T₁₅ + T₁₆ + ... + T₃₁.

It is an interprime number because it is at equal distance from previous prime (4889) and next prime (4903).

It can be written as a sum of positive squares in only one way, i.e., 3600 + 1296 = 60^2 + 36^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome 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 4896.

It is an unprimeable number.

4896 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 5 ways as a sum of consecutive naturals, for example, 280 + ... + 296.

2⁴⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371).

4896 is an abundant number, since it is smaller than the sum of its proper divisors (9846).

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

4896 is a wasteful number, since it uses less digits than its factorization.

4896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 22 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 4896 is about 69.9714227381. The cubic root of 4896 is about 16.9803694976.

It can be divided in two parts, 48 and 96, that added together give a square (144 = 12²).

The spelling of 4896 in words is "four thousand, eight hundred ninety-six".