47560960 has 72 divisors (see below), whose sum is σ = 115710840. Its totient is φ = 18726912.

The previous prime is 47560937. The next prime is 47560969. The reversal of 47560960 is 6906574.

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 35617024 = 3456^2 + 5968^2 .

It is a super-2 number, since 2×47560960² = 4524089832243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47560969) 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 7 ways as a sum of consecutive naturals, for example, 93186 + ... + 93694.

It is an arithmetic number, because the mean of its divisors is an integer number (1607095).

Almost surely, 2^47560960 is an apocalyptic number.

47560960 is a gapful number since it is divisible by the number (40) 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 47560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57855420).

47560960 is an abundant number, since it is smaller than the sum of its proper divisors (68149880).

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

47560960 is an equidigital number, since it uses as much as digits as its factorization.

47560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 589 counting only the distinct ones).

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

The square root of 47560960 is about 6896.4454612503. The cubic root of 47560960 is about 362.3126832472.

The spelling of 47560960 in words is "forty-seven million, five hundred sixty thousand, nine hundred sixty".