9956736 has 128 divisors (see below), whose sum is σ = 30518400. Its totient is φ = 3193344.

The previous prime is 9956729. The next prime is 9956753. The reversal of 9956736 is 6376599.

9956736 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 a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 9956691 and 9956700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148575 + ... + 148641.

It is an arithmetic number, because the mean of its divisors is an integer number (238425).

Almost surely, 2^9956736 is an apocalyptic number.

9956736 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 9956736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15259200).

9956736 is an abundant number, since it is smaller than the sum of its proper divisors (20561664).

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

9956736 is a wasteful number, since it uses less digits than its factorization.

9956736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

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

The square root of 9956736 is about 3155.4296062502. The cubic root of 9956736 is about 215.1323216468.

The spelling of 9956736 in words is "nine million, nine hundred fifty-six thousand, seven hundred thirty-six".