9936576 has 84 divisors (see below), whose sum is σ = 30695392. Its totient is φ = 3055104.

The previous prime is 9936571. The next prime is 9936581. The reversal of 9936576 is 6756399.

9936576 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9936571) and next prime (9936581).

It is not an unprimeable number, because it can be changed into a prime (9936571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6825 + ... + 8151.

Almost surely, 2^9936576 is an apocalyptic number.

9936576 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 9936576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15347696).

9936576 is an abundant number, since it is smaller than the sum of its proper divisors (20758816).

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

9936576 is a wasteful number, since it uses less digits than its factorization.

9936576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1345 counting only the distinct ones).

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

The square root of 9936576 is about 3152.2334938897. The cubic root of 9936576 is about 214.9870264391.

It can be divided in two parts, 993 and 6576, that added together give a square (7569 = 87²).

The spelling of 9936576 in words is "nine million, nine hundred thirty-six thousand, five hundred seventy-six".