47682960 has 320 divisors, whose sum is σ = 179988480. Its totient is φ = 10321920.

The previous prime is 47682937. The next prime is 47682967. The reversal of 47682960 is 6928674.

47682960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47682967) 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 63 ways as a sum of consecutive naturals, for example, 1538145 + ... + 1538175.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 2^47682960 is an apocalyptic number.

47682960 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 47682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

47682960 is an abundant number, since it is smaller than the sum of its proper divisors (132305520).

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

47682960 is a wasteful number, since it uses less digits than its factorization.

47682960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 47682960 is about 6905.2849325716. The cubic root of 47682960 is about 362.6222116670.

It can be divided in two parts, 476 and 82960, that added together give a triangular number (83436 = T₄₀₈).

The spelling of 47682960 in words is "forty-seven million, six hundred eighty-two thousand, nine hundred sixty".