6300144 has 60 divisors (see below), whose sum is σ = 17922216. Its totient is φ = 2065536.

The previous prime is 6300143. The next prime is 6300157. The reversal of 6300144 is 4410036.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6300143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9322 + ... + 9974.

Almost surely, 2^6300144 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 6300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961108).

6300144 is an abundant number, since it is smaller than the sum of its proper divisors (11622072).

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

6300144 is a wasteful number, since it uses less digits than its factorization.

6300144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6300144 is about 2510.0087649249. The cubic root of 6300144 is about 184.6928822072.

The spelling of 6300144 in words is "six million, three hundred thousand, one hundred forty-four".