5431920 has 80 divisors (see below), whose sum is σ = 18144672. Its totient is φ = 1336320.

The previous prime is 5431873. The next prime is 5431939. The reversal of 5431920 is 291345.

5431920 is digitally balanced in base 5, 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 (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2250 + ... + 3990.

Almost surely, 2^5431920 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 5431920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072336).

5431920 is an abundant number, since it is smaller than the sum of its proper divisors (12712752).

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

5431920 is a wasteful number, since it uses less digits than its factorization.

5431920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5431920 is about 2330.6479785673. The cubic root of 5431920 is about 175.7860692703.

The spelling of 5431920 in words is "five million, four hundred thirty-one thousand, nine hundred twenty".