5605840 has 40 divisors (see below), whose sum is σ = 13213440. Its totient is φ = 2211456.

The previous prime is 5605829. The next prime is 5605841. The reversal of 5605840 is 485065.

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 = 5605799 and 5605808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5605841) 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, 5877 + ... + 6763.

It is an arithmetic number, because the mean of its divisors is an integer number (330336).

Almost surely, 2^5605840 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 5605840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606720).

5605840 is an abundant number, since it is smaller than the sum of its proper divisors (7607600).

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

5605840 is a wasteful number, since it uses less digits than its factorization.

5605840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 5605840 is about 2367.6655169175. The cubic root of 5605840 is about 177.6425093709.

It can be divided in two parts, 560 and 5840, that added together give a square (6400 = 80²).

The spelling of 5605840 in words is "five million, six hundred five thousand, eight hundred forty".