7126480 has 40 divisors (see below), whose sum is σ = 16684200. Its totient is φ = 2830848.

The previous prime is 7126453. The next prime is 7126507. The reversal of 7126480 is 846217.

It is an interprime number because it is at equal distance from previous prime (7126453) and next prime (7126507).

It can be written as a sum of positive squares in 4 ways, for example, as 1308736 + 5817744 = 1144^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18126 + ... + 18514.

It is an arithmetic number, because the mean of its divisors is an integer number (417105).

Almost surely, 2^7126480 is an apocalyptic number.

It is an amenable number.

7126480 is an abundant number, since it is smaller than the sum of its proper divisors (9557720).

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

7126480 is a wasteful number, since it uses less digits than its factorization.

7126480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 7126480 is about 2669.5467780131. The cubic root of 7126480 is about 192.4383791073.

The spelling of 7126480 in words is "seven million, one hundred twenty-six thousand, four hundred eighty".