5355840 has 112 divisors (see below), whose sum is σ = 19458432. Its totient is φ = 1222656.

The previous prime is 5355829. The next prime is 5355841. The reversal of 5355840 is 485535.

It is a tau number, because it is divible by the number of its divisors (112).

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 = 5355798 and 5355807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5355841) 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, 6322 + ... + 7118.

It is an arithmetic number, because the mean of its divisors is an integer number (173736).

Almost surely, 2^5355840 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 5355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729216).

5355840 is an abundant number, since it is smaller than the sum of its proper divisors (14102592).

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

5355840 is a wasteful number, since it uses less digits than its factorization.

5355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 814 counting only the distinct ones).

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

The square root of 5355840 is about 2314.2687830068. The cubic root of 5355840 is about 174.9615153469.

The spelling of 5355840 in words is "five million, three hundred fifty-five thousand, eight hundred forty".