43920 has 60 divisors (see below), whose sum is σ = 149916. Its totient is φ = 11520.

The previous prime is 43913. The next prime is 43933. The reversal of 43920 is 2934.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 36864 = 84^2 + 192^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 43893 and 43902.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 690 + ... + 750.

2⁴³⁹²⁰ is an apocalyptic number.

43920 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 43920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74958).

43920 is an abundant number, since it is smaller than the sum of its proper divisors (105996).

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

43920 is a wasteful number, since it uses less digits than its factorization.

43920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 43920 is about 209.5709903589. The cubic root of 43920 is about 35.2820743223.

The spelling of 43920 in words is "forty-three thousand, nine hundred twenty".