7444640 has 144 divisors (see below), whose sum is σ = 22280832. Its totient is φ = 2297856.

The previous prime is 7444639. The next prime is 7444643. The reversal of 7444640 is 464447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7444643) 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, 323669 + ... + 323691.

It is an arithmetic number, because the mean of its divisors is an integer number (154728).

Almost surely, 2^7444640 is an apocalyptic number.

7444640 is a gapful number since it is divisible by the number (70) 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 7444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11140416).

7444640 is an abundant number, since it is smaller than the sum of its proper divisors (14836192).

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

7444640 is a wasteful number, since it uses less digits than its factorization.

7444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 7444640 is about 2728.4867600925. The cubic root of 7444640 is about 195.2605764694.

The spelling of 7444640 in words is "seven million, four hundred forty-four thousand, six hundred forty".