47631760 has 80 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 17131520.

The previous prime is 47631757. The next prime is 47631763. The reversal of 47631760 is 6713674.

47631760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47631757) and next prime (47631763).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (47631763) 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 15 ways as a sum of consecutive naturals, for example, 99201 + ... + 99679.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 2^47631760 is an apocalyptic number.

47631760 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 47631760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

47631760 is an abundant number, since it is smaller than the sum of its proper divisors (74503280).

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

47631760 is a wasteful number, since it uses less digits than its factorization.

47631760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 47631760 is about 6901.5766314662. The cubic root of 47631760 is about 362.4923755828.

The spelling of 47631760 in words is "forty-seven million, six hundred thirty-one thousand, seven hundred sixty".