4735968 has 24 divisors (see below), whose sum is σ = 12432168. Its totient is φ = 1578624.

The previous prime is 4735967. The next prime is 4735987. The reversal of 4735968 is 8695374.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4735967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24571 + ... + 24762.

It is an arithmetic number, because the mean of its divisors is an integer number (518007).

Almost surely, 2^4735968 is an apocalyptic number.

4735968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4735968 is an abundant number, since it is smaller than the sum of its proper divisors (7696200).

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

4735968 is a wasteful number, since it uses less digits than its factorization.

4735968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49346 (or 49338 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 4735968 is about 2176.2279292390. The cubic root of 4735968 is about 167.9330799230.

It can be divided in two parts, 473 and 5968, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 4735968 in words is "four million, seven hundred thirty-five thousand, nine hundred sixty-eight".