47959680 has 64 divisors (see below), whose sum is σ = 152877600. Its totient is φ = 12788736.

The previous prime is 47959679. The next prime is 47959687. The reversal of 47959680 is 8695974.

47959680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (47959687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10570 + ... + 14409.

Almost surely, 2^47959680 is an apocalyptic number.

47959680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47959680 is an abundant number, since it is smaller than the sum of its proper divisors (104917920).

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

47959680 is a wasteful number, since it uses less digits than its factorization.

47959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25001 (or 24989 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 47959680 is about 6925.2927735945. The cubic root of 47959680 is about 363.3223313075.

The spelling of 47959680 in words is "forty-seven million, nine hundred fifty-nine thousand, six hundred eighty".