47696 has 20 divisors (see below), whose sum is σ = 101184. Its totient is φ = 21600.

The previous prime is 47681. The next prime is 47699. The reversal of 47696 is 69674.

Added to its reverse (69674) it gives a triangular number (117370 = T₄₈₄).

It is a d-powerful number, because it can be written as 4⁴ + 7² + 6 + 9³ + 6⁶ .

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47696.

It is not an unprimeable number, because it can be changed into a prime (47699) by changing a digit.

47696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 311.

2⁴⁷⁶⁹⁶ 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 47696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50592).

47696 is an abundant number, since it is smaller than the sum of its proper divisors (53488).

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

47696 is a wasteful number, since it uses less digits than its factorization.

47696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 47696 is about 218.3941391155. The cubic root of 47696 is about 36.2655264444.

Adding to 47696 its reverse (69674), we get a triangular number (117370 = T₄₈₄).

The spelling of 47696 in words is "forty-seven thousand, six hundred ninety-six".