6366144 has 56 divisors (see below), whose sum is σ = 17117568. Its totient is φ = 2087680.

The previous prime is 6366137. The next prime is 6366149. The reversal of 6366144 is 4416636.

6366144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6366144³ (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6366149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13399 + ... + 13865.

Almost surely, 2^6366144 is an apocalyptic number.

6366144 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 6366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558784).

6366144 is an abundant number, since it is smaller than the sum of its proper divisors (10751424).

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

6366144 is a wasteful number, since it uses less digits than its factorization.

6366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 6366144 is about 2523.1218757722. The cubic root of 6366144 is about 185.3355876176.

The spelling of 6366144 in words is "six million, three hundred sixty-six thousand, one hundred forty-four".