9576864 has 72 divisors (see below), whose sum is σ = 29719872. Its totient is φ = 2901120.

The previous prime is 9576859. The next prime is 9576871. The reversal of 9576864 is 4686759.

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

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 11 ways as a sum of consecutive naturals, for example, 1657 + ... + 4679.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 2^9576864 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 9576864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936).

9576864 is an abundant number, since it is smaller than the sum of its proper divisors (20143008).

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

9576864 is a wasteful number, since it uses less digits than its factorization.

9576864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3039 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 9576864 is about 3094.6508688380. The cubic root of 9576864 is about 212.3608426863.

It can be divided in two parts, 9576 and 864, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 9576864 in words is "nine million, five hundred seventy-six thousand, eight hundred sixty-four".