4168944 has 120 divisors (see below), whose sum is σ = 13405392. Its totient is φ = 1198080.

The previous prime is 4168943. The next prime is 4168951. The reversal of 4168944 is 4498614.

4168944 = T₈₇ + T₈₈ + ... + T₂₉₄.

It is a happy number.

4168944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4168899 and 4168908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4168943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31759 + ... + 31889.

Almost surely, 2^4168944 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 4168944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702696).

4168944 is an abundant number, since it is smaller than the sum of its proper divisors (9236448).

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

4168944 is a wasteful number, since it uses less digits than its factorization.

4168944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4168944 is about 2041.7992065823. The cubic root of 4168944 is about 160.9442086436.

The spelling of 4168944 in words is "four million, one hundred sixty-eight thousand, nine hundred forty-four".