9705632 has 24 divisors (see below), whose sum is σ = 19940256. Its totient is φ = 4641472.

The previous prime is 9705617. The next prime is 9705667. The reversal of 9705632 is 2365079.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 9⁷ + 7⁷ + 0 + 5⁹ + 6⁶ + 3⁷ + 2²¹ .

It is an unprimeable 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, 5858 + ... + 7329.

It is an arithmetic number, because the mean of its divisors is an integer number (830844).

Almost surely, 2^9705632 is an apocalyptic number.

9705632 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

9705632 is an abundant number, since it is smaller than the sum of its proper divisors (10234624).

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

9705632 is a wasteful number, since it uses less digits than its factorization.

9705632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13220 (or 13212 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 9705632 is about 3115.3863323832. The cubic root of 9705632 is about 213.3083911812.

The spelling of 9705632 in words is "nine million, seven hundred five thousand, six hundred thirty-two".