956536 has 64 divisors (see below), whose sum is σ = 2304000. Its totient is φ = 362880.

The previous prime is 956521. The next prime is 956569. The reversal of 956536 is 635659.

956536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×956536² = 1829922238592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

956536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30841 + ... + 30871.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2⁹⁵⁶⁵³⁶ 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 956536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152000).

956536 is an abundant number, since it is smaller than the sum of its proper divisors (1347464).

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

956536 is a wasteful number, since it uses less digits than its factorization.

956536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 88 counting only the distinct ones).

The product of its digits is 24300, while the sum is 34.

The square root of 956536 is about 978.0265845058. The cubic root of 956536 is about 98.5296877711.

It can be divided in two parts, 95653 and 6, that added together give a palindrome (95659).

The spelling of 956536 in words is "nine hundred fifty-six thousand, five hundred thirty-six".