7966560 has 96 divisors (see below), whose sum is σ = 28691712. Its totient is φ = 1820160.

The previous prime is 7966559. The next prime is 7966571. The reversal of 7966560 is 656697.

It is a happy number.

7966560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2175 + ... + 4545.

It is an arithmetic number, because the mean of its divisors is an integer number (298872).

Almost surely, 2^7966560 is an apocalyptic number.

7966560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14345856).

7966560 is an abundant number, since it is smaller than the sum of its proper divisors (20725152).

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

7966560 is a wasteful number, since it uses less digits than its factorization.

7966560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 7966560 is about 2822.5095216846. The cubic root of 7966560 is about 199.7209441536.

The spelling of 7966560 in words is "seven million, nine hundred sixty-six thousand, five hundred sixty".