47703680 has 64 divisors (see below), whose sum is σ = 120074400. Its totient is φ = 18072576.

The previous prime is 47703673. The next prime is 47703697. The reversal of 47703680 is 8630774.

47703680 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 self number, because there is not a number n which added to its sum of digits gives 47703680.

It is an unprimeable number.

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, 10199 + ... + 14121.

Almost surely, 2^47703680 is an apocalyptic number.

47703680 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 47703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60037200).

47703680 is an abundant number, since it is smaller than the sum of its proper divisors (72370720).

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

47703680 is a wasteful number, since it uses less digits than its factorization.

47703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 47703680 is about 6906.7850697702. The cubic root of 47703680 is about 362.6747282906.

The spelling of 47703680 in words is "forty-seven million, seven hundred three thousand, six hundred eighty".