4765968 has 60 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1518528.

The previous prime is 4765939. The next prime is 4765973. The reversal of 4765968 is 8695674.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2593 + ... + 4031.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 2^4765968 is an apocalyptic number.

4765968 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 4765968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

4765968 is an abundant number, since it is smaller than the sum of its proper divisors (9161712).

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

4765968 is a wasteful number, since it uses less digits than its factorization.

4765968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1467 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 4765968 is about 2183.1097086496. The cubic root of 4765968 is about 168.2869246527.

The spelling of 4765968 in words is "four million, seven hundred sixty-five thousand, nine hundred sixty-eight".