5411920 has 40 divisors (see below), whose sum is σ = 12800520. Its totient is φ = 2127360.

The previous prime is 5411897. The next prime is 5411927. The reversal of 5411920 is 291145.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 4910656 = 708^2 + 2216^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 5411891 and 5411900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5411927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4326 + ... + 5434.

It is an arithmetic number, because the mean of its divisors is an integer number (320013).

Almost surely, 2^5411920 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 5411920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400260).

5411920 is an abundant number, since it is smaller than the sum of its proper divisors (7388600).

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

5411920 is a wasteful number, since it uses less digits than its factorization.

5411920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 5411920 is about 2326.3533695464. The cubic root of 5411920 is about 175.5700593927.

The spelling of 5411920 in words is "five million, four hundred eleven thousand, nine hundred twenty".