4783968 has 144 divisors (see below), whose sum is σ = 16374960. Its totient is φ = 1354752.

The previous prime is 4783873. The next prime is 4783973. The reversal of 4783968 is 8693874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42280 + ... + 42392.

It is an arithmetic number, because the mean of its divisors is an integer number (113715).

Almost surely, 2^4783968 is an apocalyptic number.

4783968 is a gapful number since it is divisible by the number (48) 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 4783968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8187480).

4783968 is an abundant number, since it is smaller than the sum of its proper divisors (11590992).

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

4783968 is a wasteful number, since it uses less digits than its factorization.

4783968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 4783968 is about 2187.2283831370. The cubic root of 4783968 is about 168.4985192425.

The spelling of 4783968 in words is "four million, seven hundred eighty-three thousand, nine hundred sixty-eight".