9432864 has 72 divisors (see below), whose sum is σ = 30663360. Its totient is φ = 2694528.

The previous prime is 9432833. The next prime is 9432923. The reversal of 9432864 is 4682349.

It is a happy number.

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

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324 + ... + 4355.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 2^9432864 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 9432864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331680).

9432864 is an abundant number, since it is smaller than the sum of its proper divisors (21230496).

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

9432864 is a wasteful number, since it uses less digits than its factorization.

9432864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4691 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 9432864 is about 3071.2967945153. The cubic root of 9432864 is about 211.2910936245.

It can be divided in two parts, 9432 and 864, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 9432864 in words is "nine million, four hundred thirty-two thousand, eight hundred sixty-four".