7344640 has 80 divisors (see below), whose sum is σ = 18659520. Its totient is φ = 2764800.

The previous prime is 7344637. The next prime is 7344647. The reversal of 7344640 is 464437.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 7344599 and 7344608.

It is not an unprimeable number, because it can be changed into a prime (7344647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48565 + ... + 48715.

It is an arithmetic number, because the mean of its divisors is an integer number (233244).

Almost surely, 2^7344640 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 7344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329760).

7344640 is an abundant number, since it is smaller than the sum of its proper divisors (11314880).

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

7344640 is a wasteful number, since it uses less digits than its factorization.

7344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 7344640 is about 2710.0996291650. The cubic root of 7344640 is about 194.3823542949.

The spelling of 7344640 in words is "seven million, three hundred forty-four thousand, six hundred forty".