47656 has 32 divisors (see below), whose sum is σ = 109440. Its totient is φ = 19008.

The previous prime is 47653. The next prime is 47657. The reversal of 47656 is 65674.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47653) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1270 + ... + 1306.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2⁴⁷⁶⁵⁶ is an apocalyptic number.

47656 is a gapful number since it is divisible by the number (46) 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 47656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720).

47656 is an abundant number, since it is smaller than the sum of its proper divisors (61784).

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

47656 is a wasteful number, since it uses less digits than its factorization.

47656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 69 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 47656 is about 218.3025423581. The cubic root of 47656 is about 36.2553856445.

It can be divided in two parts, 47 and 656, that added together give a triangular number (703 = T₃₇).

The spelling of 47656 in words is "forty-seven thousand, six hundred fifty-six".