5535840 has 96 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 1396224.

The previous prime is 5535791. The next prime is 5535841. The reversal of 5535840 is 485355.

5535840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 5535798 and 5535807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5535841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8817 + ... + 9423.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 2^5535840 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 5535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

5535840 is an abundant number, since it is smaller than the sum of its proper divisors (12850080).

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

5535840 is a wasteful number, since it uses less digits than its factorization.

5535840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 5535840 is about 2352.8365859107. The cubic root of 5535840 is about 176.9000041649.

5535840 divided by its sum of digits (30) gives a triangular number (184528 = T₆₀₇).

The spelling of 5535840 in words is "five million, five hundred thirty-five thousand, eight hundred forty".