4968 has 32 divisors (see below), whose sum is σ = 14400.
Its totient is φ = 1584.
The previous prime is 4967. The next prime is 4969. The reversal of 4968 is 8694.
Subtracting from 4968 its product of digits (1728), we obtain a triangular number (3240 = T80).
It is an interprime number because it is at equal distance from previous prime (4967) and next prime (4969).
It is a Harshad number since it is a multiple of its sum of digits (27).
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 plaindrome in base 16.
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 a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 227.
It is an arithmetic number, because the mean of its divisors is an integer number (450).
24968 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 4968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200).
4968 is an abundant number, since it is smaller than the sum of its proper divisors (9432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4968 is a wasteful number, since it uses less digits than its factorization.
4968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 38 (or 28 counting only the distinct ones).
The product of its digits is 1728, while the sum is 27.
The square root of 4968 is about 70.4840407468.
The cubic root of 4968 is about 17.0632018791.
The spelling of 4968 in words is "four thousand, nine hundred sixty-eight".