7503940 has 24 divisors (see below), whose sum is σ = 15811992. Its totient is φ = 2991360.

The previous prime is 7503931. The next prime is 7503941. The reversal of 7503940 is 493057.

It can be written as a sum of positive squares in 4 ways, for example, as 1183744 + 6320196 = 1088^2 + 2514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7503899 and 7503908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7503941) 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 7 ways as a sum of consecutive naturals, for example, 8730 + ... + 9550.

It is an arithmetic number, because the mean of its divisors is an integer number (658833).

Almost surely, 2^7503940 is an apocalyptic number.

It is an amenable number.

7503940 is an abundant number, since it is smaller than the sum of its proper divisors (8308052).

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

7503940 is a wasteful number, since it uses less digits than its factorization.

7503940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 7503940 is about 2739.3320353692. The cubic root of 7503940 is about 195.7776528991. Note that the first 3 decimals are identical.

Adding to 7503940 its reverse (493057), we get a palindrome (7996997).

The spelling of 7503940 in words is "seven million, five hundred three thousand, nine hundred forty".