7648560 has 80 divisors (see below), whose sum is σ = 26352480. Its totient is φ = 2039040.

The previous prime is 7648559. The next prime is 7648609. The reversal of 7648560 is 658467.

It is a happy number.

7648560 is a `hidden beast` number, since 7 + 648 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×7648560³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 390 + ... + 3930.

It is an arithmetic number, because the mean of its divisors is an integer number (329406).

Almost surely, 2^7648560 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 7648560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13176240).

7648560 is an abundant number, since it is smaller than the sum of its proper divisors (18703920).

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

7648560 is a wasteful number, since it uses less digits than its factorization.

7648560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7648560 is about 2765.6030083871. The cubic root of 7648560 is about 197.0273695729.

The spelling of 7648560 in words is "seven million, six hundred forty-eight thousand, five hundred sixty".