943920 has 160 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 228096.

The previous prime is 943913. The next prime is 943931. The reversal of 943920 is 29349.

943920 = 156² + 157² + ... + 187².

943920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a zygodrome in base 2.

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 943920.

It is an unprimeable number.

943920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41029 + ... + 41051.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2⁹⁴³⁹²⁰ is an apocalyptic number.

943920 is a gapful number since it is divisible by the number (90) 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 943920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600).

943920 is an abundant number, since it is smaller than the sum of its proper divisors (2627280).

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

943920 is a wasteful number, since it uses less digits than its factorization.

943920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 943920 is about 971.5554538985. Note that the first 3 decimals coincide. The cubic root of 943920 is about 98.0945914403.

The spelling of 943920 in words is "nine hundred forty-three thousand, nine hundred twenty".