4144896 has 108 divisors (see below), whose sum is σ = 13711152. Its totient is φ = 1179648.

The previous prime is 4144879. The next prime is 4144913. The reversal of 4144896 is 6984414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4144879) and next prime (4144913).

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 self number, because there is not a number n which added to its sum of digits gives 4144896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16000 + ... + 16256.

Almost surely, 2^4144896 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 4144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855576).

4144896 is an abundant number, since it is smaller than the sum of its proper divisors (9566256).

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

4144896 is a wasteful number, since it uses less digits than its factorization.

4144896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

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

The square root of 4144896 is about 2035.9017658031. The cubic root of 4144896 is about 160.6341499327.

The spelling of 4144896 in words is "four million, one hundred forty-four thousand, eight hundred ninety-six".