5517840 has 80 divisors (see below), whose sum is σ = 17373888. Its totient is φ = 1448448.

The previous prime is 5517839. The next prime is 5517871. The reversal of 5517840 is 487155.

5517840 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 5517798 and 5517807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19782 + ... + 20058.

Almost surely, 2^5517840 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 5517840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686944).

5517840 is an abundant number, since it is smaller than the sum of its proper divisors (11856048).

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

5517840 is a wasteful number, since it uses less digits than its factorization.

5517840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 5517840 is about 2349.0083013902. The cubic root of 5517840 is about 176.7080635556.

The spelling of 5517840 in words is "five million, five hundred seventeen thousand, eight hundred forty".