7504640 has 144 divisors (see below), whose sum is σ = 21633696. Its totient is φ = 2457600.

The previous prime is 7504613. The next prime is 7504643. The reversal of 7504640 is 464057.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (7504643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183020 + ... + 183060.

It is an arithmetic number, because the mean of its divisors is an integer number (150234).

Almost surely, 2^7504640 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 7504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10816848).

7504640 is an abundant number, since it is smaller than the sum of its proper divisors (14129056).

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

7504640 is a wasteful number, since it uses less digits than its factorization.

7504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 7504640 is about 2739.4598007636. The cubic root of 7504640 is about 195.7837403720.

Adding to 7504640 its reverse (464057), we get a palindrome (7968697).

The spelling of 7504640 in words is "seven million, five hundred four thousand, six hundred forty".