47520960 has 112 divisors (see below), whose sum is σ = 153619200. Its totient is φ = 12442624.

The previous prime is 47520953. The next prime is 47520961. The reversal of 47520960 is 6902574.

It is not an unprimeable number, because it can be changed into a prime (47520961) 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 15 ways as a sum of consecutive naturals, for example, 56221 + ... + 57059.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 2^47520960 is an apocalyptic number.

47520960 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 47520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

47520960 is an abundant number, since it is smaller than the sum of its proper divisors (106098240).

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

47520960 is a wasteful number, since it uses less digits than its factorization.

47520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 47520960 is about 6893.5448065563. The cubic root of 47520960 is about 362.2110833069.

The spelling of 47520960 in words is "forty-seven million, five hundred twenty thousand, nine hundred sixty".