4071168 has 144 divisors (see below), whose sum is σ = 13081600. Its totient is φ = 1244160.

The previous prime is 4071157. The next prime is 4071181. The reversal of 4071168 is 8611704.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131313 + ... + 131343.

Almost surely, 2^4071168 is an apocalyptic number.

4071168 is a gapful number since it is divisible by the number (48) 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 4071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540800).

4071168 is an abundant number, since it is smaller than the sum of its proper divisors (9010432).

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

4071168 is a wasteful number, since it uses less digits than its factorization.

4071168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4071168 is about 2017.7135574704. The cubic root of 4071168 is about 159.6760110543.

The spelling of 4071168 in words is "four million, seventy-one thousand, one hundred sixty-eight".