47920 has 20 divisors (see below), whose sum is σ = 111600. Its totient is φ = 19136.

The previous prime is 47917. The next prime is 47933. The reversal of 47920 is 2974.

47920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is an Ulam number.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 47891 and 47900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220 + ... + 379.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2⁴⁷⁹²⁰ is an apocalyptic number.

47920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47920 is an abundant number, since it is smaller than the sum of its proper divisors (63680).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800).

47920 is a wasteful number, since it uses less digits than its factorization.

47920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 47920 is about 218.9063726802. The cubic root of 47920 is about 36.3222104006.

The spelling of 47920 in words is "forty-seven thousand, nine hundred twenty".