7938560 has 80 divisors (see below), whose sum is σ = 21802176. Its totient is φ = 2715648.

The previous prime is 7938551. The next prime is 7938563. The reversal of 7938560 is 658397.

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

It is not an unprimeable number, because it can be changed into a prime (7938563) 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 7 ways as a sum of consecutive naturals, for example, 17699 + ... + 18141.

Almost surely, 2^7938560 is an apocalyptic number.

7938560 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 7938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10901088).

7938560 is an abundant number, since it is smaller than the sum of its proper divisors (13863616).

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

7938560 is an equidigital number, since it uses as much as digits as its factorization.

7938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 7938560 is about 2817.5450306960. The cubic root of 7938560 is about 199.4866836588.

The spelling of 7938560 in words is "seven million, nine hundred thirty-eight thousand, five hundred sixty".