7916560 has 40 divisors (see below), whose sum is σ = 19492056. Its totient is φ = 2979840.

The previous prime is 7916551. The next prime is 7916569. The reversal of 7916560 is 656197.

It is an interprime number because it is at equal distance from previous prime (7916551) and next prime (7916569).

It can be written as a sum of positive squares in 4 ways, for example, as 3111696 + 4804864 = 1764^2 + 2192^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (7916569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1551 + ... + 4270.

Almost surely, 2^7916560 is an apocalyptic number.

It is an amenable number.

7916560 is an abundant number, since it is smaller than the sum of its proper divisors (11575496).

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

7916560 is a wasteful number, since it uses less digits than its factorization.

7916560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 7916560 is about 2813.6382141278. The cubic root of 7916560 is about 199.3022351186.

The spelling of 7916560 in words is "seven million, nine hundred sixteen thousand, five hundred sixty".