4163712 has 64 divisors (see below), whose sum is σ = 12648000. Its totient is φ = 1188864.

The previous prime is 4163707. The next prime is 4163723. The reversal of 4163712 is 2173614.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1914 + ... + 3462.

It is an arithmetic number, because the mean of its divisors is an integer number (197625).

Almost surely, 2^4163712 is an apocalyptic number.

4163712 is a gapful number since it is divisible by the number (42) 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 4163712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324000).

4163712 is an abundant number, since it is smaller than the sum of its proper divisors (8484288).

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

4163712 is a wasteful number, since it uses less digits than its factorization.

4163712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1561 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 4163712 is about 2040.5175813994. The cubic root of 4163712 is about 160.8768524493.

The spelling of 4163712 in words is "four million, one hundred sixty-three thousand, seven hundred twelve".