5617440 has 144 divisors (see below), whose sum is σ = 19813248. Its totient is φ = 1448448.

The previous prime is 5617427. The next prime is 5617441. The reversal of 5617440 is 447165.

5617440 is a `hidden beast` number, since 5 + 617 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5617441) 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 23 ways as a sum of consecutive naturals, for example, 67639 + ... + 67721.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 2^5617440 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 5617440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624).

5617440 is an abundant number, since it is smaller than the sum of its proper divisors (14195808).

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

5617440 is a wasteful number, since it uses less digits than its factorization.

5617440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5617440 is about 2370.1139213126. The cubic root of 5617440 is about 177.7649550937.

It can be divided in two parts, 561 and 7440, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 5617440 in words is "five million, six hundred seventeen thousand, four hundred forty".