5956736 has 32 divisors (see below), whose sum is σ = 11979900. Its totient is φ = 2950144.

The previous prime is 5956697. The next prime is 5956739. The reversal of 5956736 is 6376595.

It can be written as a sum of positive squares in 2 ways, for example, as 5953600 + 3136 = 2440^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 5956693 and 5956702.

It is not an unprimeable number, because it can be changed into a prime (5956739) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22010 + ... + 22278.

Almost surely, 2^5956736 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 5956736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989950).

5956736 is an abundant number, since it is smaller than the sum of its proper divisors (6023164).

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

5956736 is a wasteful number, since it uses less digits than its factorization.

5956736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its digits is 170100, while the sum is 41.

The square root of 5956736 is about 2440.6425383493. The cubic root of 5956736 is about 181.2742502630.

It can be divided in two parts, 59567 and 36, that multiplied together give a palindrome (2144412).

The spelling of 5956736 in words is "five million, nine hundred fifty-six thousand, seven hundred thirty-six".