961536 has 44 divisors (see below), whose sum is σ = 2571032. Its totient is φ = 319488.

The previous prime is 961531. The next prime is 961547. The reversal of 961536 is 635169.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (961531) by changing a digit.

961536 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2916 + ... + 3228.

2⁹⁶¹⁵³⁶ is an apocalyptic number.

961536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285516).

961536 is an abundant number, since it is smaller than the sum of its proper divisors (1609496).

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

961536 is a wasteful number, since it uses less digits than its factorization.

961536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 961536 is about 980.5794205469. The cubic root of 961536 is about 98.7010674624.

It can be divided in two parts, 96 and 1536, that multiplied together give a square (147456 = 384²).

The spelling of 961536 in words is "nine hundred sixty-one thousand, five hundred thirty-six".