47616 has 40 divisors (see below), whose sum is σ = 130944. Its totient is φ = 15360.

The previous prime is 47609. The next prime is 47623. The reversal of 47616 is 61674.

47616 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (47609) and next prime (47623).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

Its product of digits (1008) is a multiple of the sum of its prime divisors (36).

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1521 + ... + 1551.

2⁴⁷⁶¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65472).

47616 is an abundant number, since it is smaller than the sum of its proper divisors (83328).

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

47616 is an equidigital number, since it uses as much as digits as its factorization.

47616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 36 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 47616 is about 218.2109071518. The cubic root of 47616 is about 36.2452391687.

The spelling of 47616 in words is "forty-seven thousand, six hundred sixteen".