7488640 has 32 divisors (see below), whose sum is σ = 17904060. Its totient is φ = 2995200.

The previous prime is 7488629. The next prime is 7488643. The reversal of 7488640 is 468847.

It can be written as a sum of positive squares in 2 ways, for example, as 7441984 + 46656 = 2728^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 7488640.

It is not an unprimeable number, because it can be changed into a prime (7488643) 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 3 ways as a sum of consecutive naturals, for example, 5211 + ... + 6490.

Almost surely, 2^7488640 is an apocalyptic number.

It is an amenable number.

7488640 is an abundant number, since it is smaller than the sum of its proper divisors (10415420).

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

7488640 is a wasteful number, since it uses less digits than its factorization.

7488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11720 (or 11708 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 7488640 is about 2736.5379588085. The cubic root of 7488640 is about 195.6445034602.

It can be divided in two parts, 7488 and 640, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 7488640 in words is "seven million, four hundred eighty-eight thousand, six hundred forty".