5967936 has 84 divisors (see below), whose sum is σ = 18444972. Its totient is φ = 1833984.

The previous prime is 5967931. The next prime is 5967937. The reversal of 5967936 is 6397695.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 4161600 = 1344^2 + 2040^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5967891 and 5967900.

It is not an unprimeable number, because it can be changed into a prime (5967931) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7090 + ... + 7886.

It is an arithmetic number, because the mean of its divisors is an integer number (219583).

Almost surely, 2^5967936 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 5967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222486).

5967936 is an abundant number, since it is smaller than the sum of its proper divisors (12477036).

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

5967936 is a wasteful number, since it uses less digits than its factorization.

5967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 815 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 5967936 is about 2442.9359385788. The cubic root of 5967936 is about 181.3877912176.

It can be divided in two parts, 5967 and 936, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 5967936 in words is "five million, nine hundred sixty-seven thousand, nine hundred thirty-six".