9408864 has 24 divisors (see below), whose sum is σ = 24698520. Its totient is φ = 3136256.

The previous prime is 9408829. The next prime is 9408869. The reversal of 9408864 is 4688049.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9408869) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48909 + ... + 49100.

It is an arithmetic number, because the mean of its divisors is an integer number (1029105).

Almost surely, 2^9408864 is an apocalyptic number.

It is an amenable number.

9408864 is an abundant number, since it is smaller than the sum of its proper divisors (15289656).

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

9408864 is a wasteful number, since it uses less digits than its factorization.

9408864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98022 (or 98014 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 9408864 is about 3067.3871617388. The cubic root of 9408864 is about 211.1117457250. Note that the first 3 decimals are identical.

The spelling of 9408864 in words is "nine million, four hundred eight thousand, eight hundred sixty-four".