5233920 has 144 divisors (see below), whose sum is σ = 17660160. Its totient is φ = 1318912.

The previous prime is 5233919. The next prime is 5233927. The reversal of 5233920 is 293325.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5233927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111337 + ... + 111383.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

Almost surely, 2^5233920 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 5233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080).

5233920 is an abundant number, since it is smaller than the sum of its proper divisors (12426240).

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

5233920 is a wasteful number, since it uses less digits than its factorization.

5233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 5233920 is about 2287.7762128320. The cubic root of 5233920 is about 173.6237078907.

The spelling of 5233920 in words is "five million, two hundred thirty-three thousand, nine hundred twenty".