7560960 has 144 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 1822720.

The previous prime is 7560947. The next prime is 7560977. The reversal of 7560960 is 690657.

It is a super-2 number, since 2×7560960² = 114336232243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42151 + ... + 42329.

It is an arithmetic number, because the mean of its divisors is an integer number (183960).

Almost surely, 2^7560960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120).

7560960 is an abundant number, since it is smaller than the sum of its proper divisors (18929280).

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

7560960 is a wasteful number, since it uses less digits than its factorization.

7560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 7560960 is about 2749.7199857440. The cubic root of 7560960 is about 196.2722857297.

The spelling of 7560960 in words is "seven million, five hundred sixty thousand, nine hundred sixty".