47656720 has 20 divisors (see below), whose sum is σ = 110802060. Its totient is φ = 19062656.

The previous prime is 47656717. The next prime is 47656727. The reversal of 47656720 is 2765674.

47656720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35378704 + 12278016 = 5948^2 + 3504^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×47656720³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 47656720.

It is not an unprimeable number, because it can be changed into a prime (47656727) 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 3 ways as a sum of consecutive naturals, for example, 297775 + ... + 297934.

It is an arithmetic number, because the mean of its divisors is an integer number (5540103).

Almost surely, 2^47656720 is an apocalyptic number.

47656720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47656720 is an abundant number, since it is smaller than the sum of its proper divisors (63145340).

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

47656720 is a wasteful number, since it uses less digits than its factorization.

47656720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595722 (or 595716 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 47656720 is about 6903.3846770986. The cubic root of 47656720 is about 362.5556822906. Note that the first 3 decimals are identical.

The spelling of 47656720 in words is "forty-seven million, six hundred fifty-six thousand, seven hundred twenty".