6228144 has 80 divisors (see below), whose sum is σ = 19269600. Its totient is φ = 1914624.

The previous prime is 6228139. The next prime is 6228203. The reversal of 6228144 is 4418226.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 5062 + ... + 6170.

It is an arithmetic number, because the mean of its divisors is an integer number (240870).

Almost surely, 2^6228144 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 6228144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9634800).

6228144 is an abundant number, since it is smaller than the sum of its proper divisors (13041456).

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

6228144 is a wasteful number, since it uses less digits than its factorization.

6228144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1127 counting only the distinct ones).

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

The square root of 6228144 is about 2495.6249718257. The cubic root of 6228144 is about 183.9866089814.

It can be divided in two parts, 6 and 228144, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 6228144 in words is "six million, two hundred twenty-eight thousand, one hundred forty-four".