5735808 has 96 divisors (see below), whose sum is σ = 17821440. Its totient is φ = 1760256.

The previous prime is 5735801. The next prime is 5735827. The reversal of 5735808 is 8085375.

It is a happy number.

5735808 is a `hidden beast` number, since 5 + 73 + 580 + 8 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5735801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14785 + ... + 15167.

It is an arithmetic number, because the mean of its divisors is an integer number (185640).

Almost surely, 2^5735808 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 5735808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910720).

5735808 is an abundant number, since it is smaller than the sum of its proper divisors (12085632).

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

5735808 is a wasteful number, since it uses less digits than its factorization.

5735808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5735808 is about 2394.9546968575. The cubic root of 5735808 is about 179.0048790322.

The spelling of 5735808 in words is "five million, seven hundred thirty-five thousand, eight hundred eight".