6264144 has 60 divisors (see below), whose sum is σ = 17975412. Its totient is φ = 2035200.

The previous prime is 6264133. The next prime is 6264149. The reversal of 6264144 is 4414626.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 4359744 = 1380^2 + 2088^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its 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 (6264149) 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, 5374 + ... + 6434.

Almost surely, 2^6264144 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 6264144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8987706).

6264144 is an abundant number, since it is smaller than the sum of its proper divisors (11711268).

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

6264144 is a wasteful number, since it uses less digits than its factorization.

6264144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1107 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 6264144 is about 2502.8272013865. The cubic root of 6264144 is about 184.3404220898.

The spelling of 6264144 in words is "six million, two hundred sixty-four thousand, one hundred forty-four".