7616560 has 120 divisors (see below), whose sum is σ = 21628080. Its totient is φ = 2483712.

The previous prime is 7616551. The next prime is 7616563. The reversal of 7616560 is 656167.

It is not an unprimeable number, because it can be changed into a prime (7616563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113647 + ... + 113713.

It is an arithmetic number, because the mean of its divisors is an integer number (180234).

Almost surely, 2^7616560 is an apocalyptic number.

7616560 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 7616560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814040).

7616560 is an abundant number, since it is smaller than the sum of its proper divisors (14011520).

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

7616560 is a wasteful number, since it uses less digits than its factorization.

7616560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 7616560 is about 2759.8115877719. The cubic root of 7616560 is about 196.7522115001.

The spelling of 7616560 in words is "seven million, six hundred sixteen thousand, five hundred sixty".