5736808 has 64 divisors (see below), whose sum is σ = 13708800. Its totient is φ = 2185920.

The previous prime is 5736793. The next prime is 5736823. The reversal of 5736808 is 8086375.

It is an interprime number because it is at equal distance from previous prime (5736793) and next prime (5736823).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 41203 + ... + 41341.

It is an arithmetic number, because the mean of its divisors is an integer number (214200).

Almost surely, 2^5736808 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 5736808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854400).

5736808 is an abundant number, since it is smaller than the sum of its proper divisors (7971992).

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

5736808 is a wasteful number, since it uses less digits than its factorization.

5736808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 5736808 is about 2395.1634599751. The cubic root of 5736808 is about 179.0152811980.

It can be divided in two parts, 573 and 6808, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 5736808 in words is "five million, seven hundred thirty-six thousand, eight hundred eight".