7126580 has 24 divisors (see below), whose sum is σ = 15023400. Its totient is φ = 2839680.

The previous prime is 7126549. The next prime is 7126583. The reversal of 7126580 is 856217.

It can be written as a sum of positive squares in 4 ways, for example, as 1547536 + 5579044 = 1244^2 + 2362^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7126583) by changing a digit.

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, 6470 + ... + 7490.

It is an arithmetic number, because the mean of its divisors is an integer number (625975).

Almost surely, 2^7126580 is an apocalyptic number.

It is an amenable number.

7126580 is an abundant number, since it is smaller than the sum of its proper divisors (7896820).

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

7126580 is a wasteful number, since it uses less digits than its factorization.

7126580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 7126580 is about 2669.5655077184. The cubic root of 7126580 is about 192.4392792127.

The spelling of 7126580 in words is "seven million, one hundred twenty-six thousand, five hundred eighty".