7958560 has 24 divisors (see below), whose sum is σ = 18802476. Its totient is φ = 3183360.

The previous prime is 7958527. The next prime is 7958563. The reversal of 7958560 is 658597.

It is a happy number.

7958560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 274576 = 2772^2 + 524^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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 (7958563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24711 + ... + 25030.

Almost surely, 2^7958560 is an apocalyptic number.

It is an amenable number.

7958560 is an abundant number, since it is smaller than the sum of its proper divisors (10843916).

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

7958560 is a wasteful number, since it uses less digits than its factorization.

7958560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49756 (or 49748 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 7958560 is about 2821.0919871567. The cubic root of 7958560 is about 199.6540686692.

The spelling of 7958560 in words is "seven million, nine hundred fifty-eight thousand, five hundred sixty".