47568960 has 168 divisors, whose sum is σ = 166420800. Its totient is φ = 12469248.

The previous prime is 47568949. The next prime is 47568967. The reversal of 47568960 is 6986574.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47568967) 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 23 ways as a sum of consecutive naturals, for example, 238941 + ... + 239139.

It is an arithmetic number, because the mean of its divisors is an integer number (990600).

Almost surely, 2^47568960 is an apocalyptic number.

47568960 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 47568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83210400).

47568960 is an abundant number, since it is smaller than the sum of its proper divisors (118851840).

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

47568960 is a wasteful number, since it uses less digits than its factorization.

47568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 47568960 is about 6897.0254457991. The cubic root of 47568960 is about 362.3329963987.

The spelling of 47568960 in words is "forty-seven million, five hundred sixty-eight thousand, nine hundred sixty".