4157968 has 40 divisors (see below), whose sum is σ = 8499456. Its totient is φ = 1968000.

The previous prime is 4157947. The next prime is 4157981. The reversal of 4157968 is 8697514.

4157968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4157968.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41118 + ... + 41218.

Almost surely, 2^4157968 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 4157968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249728).

4157968 is an abundant number, since it is smaller than the sum of its proper divisors (4341488).

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

4157968 is a wasteful number, since it uses less digits than its factorization.

4157968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 4157968 is about 2039.1096096091. The cubic root of 4157968 is about 160.8028398135.

The spelling of 4157968 in words is "four million, one hundred fifty-seven thousand, nine hundred sixty-eight".