4144608 has 144 divisors (see below), whose sum is σ = 13484016. Its totient is φ = 1244160.

The previous prime is 4144589. The next prime is 4144631. The reversal of 4144608 is 8064414.

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 an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101068 + ... + 101108.

It is an arithmetic number, because the mean of its divisors is an integer number (93639).

Almost surely, 2^4144608 is an apocalyptic number.

4144608 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 4144608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742008).

4144608 is an abundant number, since it is smaller than the sum of its proper divisors (9339408).

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

4144608 is a wasteful number, since it uses less digits than its factorization.

4144608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4144608 is about 2035.8310342462. The cubic root of 4144608 is about 160.6304293965.

The spelling of 4144608 in words is "four million, one hundred forty-four thousand, six hundred eight".