5405760 has 84 divisors (see below), whose sum is σ = 18603468. Its totient is φ = 1440768.

The previous prime is 5405717. The next prime is 5405767. The reversal of 5405760 is 675045.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 2742336 = 1632^2 + 1656^2 .

It is not an unprimeable number, because it can be changed into a prime (5405767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1942 + ... + 3818.

Almost surely, 2^5405760 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 5405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9301734).

5405760 is an abundant number, since it is smaller than the sum of its proper divisors (13197708).

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

5405760 is a wasteful number, since it uses less digits than its factorization.

5405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5405760 is about 2325.0290320768. The cubic root of 5405760 is about 175.5034211718.

The spelling of 5405760 in words is "five million, four hundred five thousand, seven hundred sixty".