6038144 has 64 divisors (see below), whose sum is σ = 14394240. Its totient is φ = 2466816.

The previous prime is 6038129. The next prime is 6038161. The reversal of 6038144 is 4418306.

6038144 = 108² + 109² + ... + 268².

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20462 + ... + 20754.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 2^6038144 is an apocalyptic number.

6038144 is a gapful number since it is divisible by the number (64) 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 6038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120).

6038144 is an abundant number, since it is smaller than the sum of its proper divisors (8356096).

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

6038144 is a wasteful number, since it uses less digits than its factorization.

6038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 6038144 is about 2457.2635186321. The cubic root of 6038144 is about 182.0963141949.

The spelling of 6038144 in words is "six million, thirty-eight thousand, one hundred forty-four".