6390144 has 96 divisors (see below), whose sum is σ = 19308600. Its totient is φ = 2080512.

The previous prime is 6390127. The next prime is 6390161. The reversal of 6390144 is 4410936.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (6390127) and next prime (6390161).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148587 + ... + 148629.

Almost surely, 2^6390144 is an apocalyptic number.

6390144 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 6390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9654300).

6390144 is an abundant number, since it is smaller than the sum of its proper divisors (12918456).

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

6390144 is an equidigital number, since it uses as much as digits as its factorization.

6390144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6390144 is about 2527.8734145522. The cubic root of 6390144 is about 185.5681970875.

The spelling of 6390144 in words is "six million, three hundred ninety thousand, one hundred forty-four".