4746168 has 128 divisors (see below), whose sum is σ = 15628800. Its totient is φ = 1306368.

The previous prime is 4746163. The next prime is 4746173. The reversal of 4746168 is 8616474.

It is an interprime number because it is at equal distance from previous prime (4746163) and next prime (4746173).

It is a super-2 number, since 2×4746168² = 45052221368448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (32256) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4746163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64980 + ... + 65052.

It is an arithmetic number, because the mean of its divisors is an integer number (122100).

Almost surely, 2^4746168 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 4746168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814400).

4746168 is an abundant number, since it is smaller than the sum of its proper divisors (10882632).

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

4746168 is a wasteful number, since it uses less digits than its factorization.

4746168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4746168 is about 2178.5701733017. The cubic root of 4746168 is about 168.0535543549.

The spelling of 4746168 in words is "four million, seven hundred forty-six thousand, one hundred sixty-eight".