7967560 has 32 divisors (see below), whose sum is σ = 18983160. Its totient is φ = 2999296.

The previous prime is 7967521. The next prime is 7967569. The reversal of 7967560 is 657697.

It can be written as a sum of positive squares in 4 ways, for example, as 4848804 + 3118756 = 2202^2 + 1766^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7967569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5179 + ... + 6538.

Almost surely, 2^7967560 is an apocalyptic number.

It is an amenable number.

7967560 is an abundant number, since it is smaller than the sum of its proper divisors (11015600).

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

7967560 is a wasteful number, since it uses less digits than its factorization.

7967560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11745 (or 11741 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 7967560 is about 2822.6866634467. The cubic root of 7967560 is about 199.7293004407.

The spelling of 7967560 in words is "seven million, nine hundred sixty-seven thousand, five hundred sixty".