606144 has 112 divisors (see below), whose sum is σ = 2048256. Its totient is φ = 153600.

The previous prime is 606131. The next prime is 606173. The reversal of 606144 is 441606.

606144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 606144.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 606144.

It is an unprimeable number.

606144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14764 + ... + 14804.

It is an arithmetic number, because the mean of its divisors is an integer number (18288).

2⁶⁰⁶¹⁴⁴ is an apocalyptic number.

606144 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 606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128).

606144 is an abundant number, since it is smaller than the sum of its proper divisors (1442112).

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

606144 is a wasteful number, since it uses less digits than its factorization.

606144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 606144 is about 778.5525030465. The cubic root of 606144 is about 84.6301810954.

It can be divided in two parts, 6061 and 44, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 606144 in words is "six hundred six thousand, one hundred forty-four".