9051264 has 112 divisors (see below), whose sum is σ = 27314070. Its totient is φ = 2985984.

The previous prime is 9051257. The next prime is 9051269. The reversal of 9051264 is 4621509.

9051264 is a `hidden beast` number, since 90 + 512 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7884864 + 1166400 = 2808^2 + 1080^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9051269) 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 13 ways as a sum of consecutive naturals, for example, 93264 + ... + 93360.

Almost surely, 2^9051264 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 9051264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657035).

9051264 is an abundant number, since it is smaller than the sum of its proper divisors (18262806).

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

9051264 is an frugal number, since it uses more digits than its factorization.

9051264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9051264 is about 3008.5318678718. The cubic root of 9051264 is about 208.4025733942.

The spelling of 9051264 in words is "nine million, fifty-one thousand, two hundred sixty-four".