7649560 has 48 divisors (see below), whose sum is σ = 17874000. Its totient is φ = 2946240.

The previous prime is 7649557. The next prime is 7649561. The reversal of 7649560 is 659467.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7649561) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 38341 + ... + 38539.

It is an arithmetic number, because the mean of its divisors is an integer number (372375).

Almost surely, 2^7649560 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 7649560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8937000).

7649560 is an abundant number, since it is smaller than the sum of its proper divisors (10224440).

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

7649560 is a wasteful number, since it uses less digits than its factorization.

7649560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 7649560 is about 2765.7837948762. The cubic root of 7649560 is about 197.0359558856.

The spelling of 7649560 in words is "seven million, six hundred forty-nine thousand, five hundred sixty".