7568960 has 112 divisors (see below), whose sum is σ = 21457920. Its totient is φ = 2488320.

The previous prime is 7568959. The next prime is 7568963. The reversal of 7568960 is 698657.

It is a happy number.

7568960 is digitally balanced in base 5, 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 (112).

It is not an unprimeable number, because it can be changed into a prime (7568963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69386 + ... + 69494.

Almost surely, 2^7568960 is an apocalyptic number.

7568960 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 7568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10728960).

7568960 is an abundant number, since it is smaller than the sum of its proper divisors (13888960).

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

7568960 is a wasteful number, since it uses less digits than its factorization.

7568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 7568960 is about 2751.1742947331. The cubic root of 7568960 is about 196.3414843864.

The spelling of 7568960 in words is "seven million, five hundred sixty-eight thousand, nine hundred sixty".