7644144 has 40 divisors (see below), whose sum is σ = 20034432. Its totient is φ = 2511040.

The previous prime is 7644107. The next prime is 7644157. The reversal of 7644144 is 4414467.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2287 + ... + 4529.

Almost surely, 2^7644144 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 7644144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10017216).

7644144 is an abundant number, since it is smaller than the sum of its proper divisors (12390288).

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

7644144 is a wasteful number, since it uses less digits than its factorization.

7644144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2319 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 7644144 is about 2764.8045138852. The cubic root of 7644144 is about 196.9894434636.

The spelling of 7644144 in words is "seven million, six hundred forty-four thousand, one hundred forty-four".