4960 has 24 divisors (see below), whose sum is σ = 12096. Its totient is φ = 1920.

The previous prime is 4957. The next prime is 4967. The reversal of 4960 is 694.

4960 = T₁ + T₂ + ... + T₃₀.

It is a happy number.

4960 is a nontrivial binomial coefficient, being equal to C(32, 3).

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 11 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967) by changing a digit.

It is the 30-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145 + ... + 175.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

2⁴⁹⁶⁰ is an apocalyptic number.

4960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4960 is the 58-th centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048).

4960 is an abundant number, since it is smaller than the sum of its proper divisors (7136).

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

4960 is a wasteful number, since it uses less digits than its factorization.

4960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 4960 is about 70.4272674466. The cubic root of 4960 is about 17.0540379666.

The spelling of 4960 in words is "four thousand, nine hundred sixty".