4807968 has 96 divisors (see below), whose sum is σ = 14333760. Its totient is φ = 1397760.

The previous prime is 4807967. The next prime is 4807973. The reversal of 4807968 is 8697084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×4807968³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4807961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30546 + ... + 30702.

It is an arithmetic number, because the mean of its divisors is an integer number (149310).

Almost surely, 2^4807968 is an apocalyptic number.

4807968 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 4807968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166880).

4807968 is an abundant number, since it is smaller than the sum of its proper divisors (9525792).

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

4807968 is a wasteful number, since it uses less digits than its factorization.

4807968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 4807968 is about 2192.7079148852. The cubic root of 4807968 is about 168.7798213415.

Multiplying 4807968 by its sum of digits (42), we get a triangular number (201934656 = T₂₀₀₉₆).

It can be divided in two parts, 4807 and 968, that added together give a palindrome (5775).

The spelling of 4807968 in words is "four million, eight hundred seven thousand, nine hundred sixty-eight".