9704736 has 72 divisors (see below), whose sum is σ = 28514304. Its totient is φ = 3127680.

The previous prime is 9704731. The next prime is 9704743. The reversal of 9704736 is 6374079.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9704736.

It is not an unprimeable number, because it can be changed into a prime (9704731) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8385 + ... + 9471.

It is an arithmetic number, because the mean of its divisors is an integer number (396032).

Almost surely, 2^9704736 is an apocalyptic number.

9704736 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 9704736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14257152).

9704736 is an abundant number, since it is smaller than the sum of its proper divisors (18809568).

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

9704736 is a wasteful number, since it uses less digits than its factorization.

9704736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 9704736 is about 3115.2425266743. The cubic root of 9704736 is about 213.3018269444.

It can be divided in two parts, 9704 and 736, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 9704736 in words is "nine million, seven hundred four thousand, seven hundred thirty-six".