4766112 has 144 divisors (see below), whose sum is σ = 15593760. Its totient is φ = 1368576.

The previous prime is 4766107. The next prime is 4766117. The reversal of 4766112 is 2116674.

4766112 is a `hidden beast` number, since 47 + 6 + 611 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4766107) and next prime (4766117).

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

It is not an unprimeable number, because it can be changed into a prime (4766117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71103 + ... + 71169.

It is an arithmetic number, because the mean of its divisors is an integer number (108290).

Almost surely, 2^4766112 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 4766112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7796880).

4766112 is an abundant number, since it is smaller than the sum of its proper divisors (10827648).

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

4766112 is a wasteful number, since it uses less digits than its factorization.

4766112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 4766112 is about 2183.1426888777. The cubic root of 4766112 is about 168.2886195217.

The spelling of 4766112 in words is "four million, seven hundred sixty-six thousand, one hundred twelve".