4705668 has 96 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1336320.

The previous prime is 4705637. The next prime is 4705669. The reversal of 4705668 is 8665074.

It is a happy number.

It is a super-2 number, since 2×4705668² = 44286622652448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4705669) 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, 20080 + ... + 20312.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^4705668 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 4705668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

4705668 is an abundant number, since it is smaller than the sum of its proper divisors (9446652).

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

4705668 is a wasteful number, since it uses less digits than its factorization.

4705668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4705668 is about 2169.2551717122. The cubic root of 4705668 is about 167.5741766956.

The spelling of 4705668 in words is "four million, seven hundred five thousand, six hundred sixty-eight".