9829664 has 24 divisors (see below), whose sum is σ = 20841660. Its totient is φ = 4536576.

The previous prime is 9829657. The next prime is 9829681. The reversal of 9829664 is 4669289.

9829664 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 2 ways, for example, as 7333264 + 2496400 = 2708^2 + 1580^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11399 + ... + 12230.

Almost surely, 2^9829664 is an apocalyptic number.

It is an amenable number.

9829664 is an abundant number, since it is smaller than the sum of its proper divisors (11011996).

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

9829664 is a wasteful number, since it uses less digits than its factorization.

9829664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23652 (or 23644 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 9829664 is about 3135.2294971820. The cubic root of 9829664 is about 214.2131977269.

The spelling of 9829664 in words is "nine million, eight hundred twenty-nine thousand, six hundred sixty-four".