963536 has 30 divisors (see below), whose sum is σ = 2173410. Its totient is φ = 412608.

The previous prime is 963499. The next prime is 963559. The reversal of 963536 is 635369.

It can be written as a sum of positive squares in only one way, i.e., 960400 + 3136 = 980^2 + 56^2 .

It is a congruent number.

It is an unprimeable number.

963536 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 170 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (72447).

2⁹⁶³⁵³⁶ 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 963536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086705).

963536 is an abundant number, since it is smaller than the sum of its proper divisors (1209874).

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

963536 is a wasteful number, since it uses less digits than its factorization.

963536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1238 counting only the distinct ones).

The product of its digits is 14580, while the sum is 32.

The square root of 963536 is about 981.5986960057. The cubic root of 963536 is about 98.7694529855.

The spelling of 963536 in words is "nine hundred sixty-three thousand, five hundred thirty-six".