4193968 has 30 divisors (see below), whose sum is σ = 8641436. Its totient is φ = 1971456.

The previous prime is 4193963. The next prime is 4193971. The reversal of 4193968 is 8693914.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4193968.

It is not an unprimeable number, because it can be changed into a prime (4193963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4171 + ... + 5077.

Almost surely, 2^4193968 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 4193968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320718).

4193968 is an abundant number, since it is smaller than the sum of its proper divisors (4447468).

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

4193968 is a wasteful number, since it uses less digits than its factorization.

4193968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 926 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The square root of 4193968 is about 2047.9179671071. The cubic root of 4193968 is about 161.2655879008.

The spelling of 4193968 in words is "four million, one hundred ninety-three thousand, nine hundred sixty-eight".