6007144 has 64 divisors (see below), whose sum is σ = 13608000. Its totient is φ = 2449920.

The previous prime is 6007123. The next prime is 6007151. The reversal of 6007144 is 4417006.

6007144 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 (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67452 + ... + 67540.

It is an arithmetic number, because the mean of its divisors is an integer number (212625).

Almost surely, 2^6007144 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 6007144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804000).

6007144 is an abundant number, since it is smaller than the sum of its proper divisors (7600856).

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

6007144 is a wasteful number, since it uses less digits than its factorization.

6007144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 6007144 is about 2450.9475718587. The cubic root of 6007144 is about 181.7841501760.

It can be divided in two parts, 600 and 7144, that added together give a square (7744 = 88²).

The spelling of 6007144 in words is "six million, seven thousand, one hundred forty-four".