9012864 has 96 divisors (see below), whose sum is σ = 27907200. Its totient is φ = 2569728.

The previous prime is 9012841. The next prime is 9012869. The reversal of 9012864 is 4682109.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (9012869) by changing a digit.

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, 18577 + ... + 19055.

It is an arithmetic number, because the mean of its divisors is an integer number (290700).

Almost surely, 2^9012864 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 9012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953600).

9012864 is an abundant number, since it is smaller than the sum of its proper divisors (18894336).

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

9012864 is a wasteful number, since it uses less digits than its factorization.

9012864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 9012864 is about 3002.1432344244. The cubic root of 9012864 is about 208.1074395630.

The spelling of 9012864 in words is "nine million, twelve thousand, eight hundred sixty-four".