5665440 has 192 divisors, whose sum is σ = 20684160. Its totient is φ = 1290240.

The previous prime is 5665433. The next prime is 5665441. The reversal of 5665440 is 445665.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5665398 and 5665407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5665441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153102 + ... + 153138.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 2^5665440 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 5665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

5665440 is an abundant number, since it is smaller than the sum of its proper divisors (15018720).

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

5665440 is a wasteful number, since it uses less digits than its factorization.

5665440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5665440 is about 2380.2184773672. The cubic root of 5665440 is about 178.2698427921.

It can be divided in two parts, 5665 and 440, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5665440 in words is "five million, six hundred sixty-five thousand, four hundred forty".