5649840 has 240 divisors, whose sum is σ = 23212800. Its totient is φ = 1202688.

The previous prime is 5649829. The next prime is 5649851. The reversal of 5649840 is 489465.

5649840 is a `hidden beast` number, since 5 + 649 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5649829) and next prime (5649851).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5649795 and 5649804.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95731 + ... + 95789.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

Almost surely, 2^5649840 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 5649840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606400).

5649840 is an abundant number, since it is smaller than the sum of its proper divisors (17562960).

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

5649840 is a wasteful number, since it uses less digits than its factorization.

5649840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5649840 is about 2376.9392083097. The cubic root of 5649840 is about 178.1060681634.

It can be divided in two parts, 564 and 9840, that added together give a square (10404 = 102²).

The spelling of 5649840 in words is "five million, six hundred forty-nine thousand, eight hundred forty".