7606560 has 192 divisors, whose sum is σ = 27433728. Its totient is φ = 1757184.

The previous prime is 7606559. The next prime is 7606561. The reversal of 7606560 is 656067.

It is an interprime number because it is at equal distance from previous prime (7606559) and next prime (7606561).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (7606561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143494 + ... + 143546.

It is an arithmetic number, because the mean of its divisors is an integer number (142884).

Almost surely, 2^7606560 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 7606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

7606560 is an abundant number, since it is smaller than the sum of its proper divisors (19827168).

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

7606560 is a wasteful number, since it uses less digits than its factorization.

7606560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 7606560 is about 2757.9992748367. Note that the first 3 decimals coincide. The cubic root of 7606560 is about 196.6660665818. Note that the first 3 decimals are identical.

The spelling of 7606560 in words is "seven million, six hundred six thousand, five hundred sixty".