6291144 has 96 divisors (see below), whose sum is σ = 18532800. Its totient is φ = 1921920.

The previous prime is 6291133. The next prime is 6291149. The reversal of 6291144 is 4411926.

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

It is not an unprimeable number, because it can be changed into a prime (6291149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47959 + ... + 48089.

It is an arithmetic number, because the mean of its divisors is an integer number (193050).

Almost surely, 2^6291144 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 6291144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9266400).

6291144 is an abundant number, since it is smaller than the sum of its proper divisors (12241656).

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

6291144 is a wasteful number, since it uses less digits than its factorization.

6291144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 188 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 6291144 is about 2508.2153017634. The cubic root of 6291144 is about 184.6048933141.

The spelling of 6291144 in words is "six million, two hundred ninety-one thousand, one hundred forty-four".