47705760 has 168 divisors, whose sum is σ = 169393140. Its totient is φ = 12690432.

The previous prime is 47705759. The next prime is 47705761. The reversal of 47705760 is 6750774.

It is an interprime number because it is at equal distance from previous prime (47705759) and next prime (47705761).

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 1411344 = 6804^2 + 1188^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47705761) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116436 + ... + 116844.

Almost surely, 2^47705760 is an apocalyptic number.

47705760 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 47705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84696570).

47705760 is an abundant number, since it is smaller than the sum of its proper divisors (121687380).

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

47705760 is an equidigital number, since it uses as much as digits as its factorization.

47705760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 47705760 is about 6906.9356446980. The cubic root of 47705760 is about 362.6799993897.

The spelling of 47705760 in words is "forty-seven million, seven hundred five thousand, seven hundred sixty".