9952336 has 40 divisors (see below), whose sum is σ = 20255400. Its totient is φ = 4730880.

The previous prime is 9952303. The next prime is 9952337. The reversal of 9952336 is 6332599.

9952336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1308736 + 8643600 = 1144^2 + 2940^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9952295 and 9952304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9952337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41176 + ... + 41416.

It is an arithmetic number, because the mean of its divisors is an integer number (506385).

Almost surely, 2^9952336 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 9952336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10127700).

9952336 is an abundant number, since it is smaller than the sum of its proper divisors (10303064).

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

9952336 is a wasteful number, since it uses less digits than its factorization.

9952336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its digits is 43740, while the sum is 37.

The square root of 9952336 is about 3154.7323182800. The cubic root of 9952336 is about 215.1006271341.

The spelling of 9952336 in words is "nine million, nine hundred fifty-two thousand, three hundred thirty-six".