9285264 has 60 divisors (see below), whose sum is σ = 27521676. Its totient is φ = 2912256.

The previous prime is 9285259. The next prime is 9285277. The reversal of 9285264 is 4625829.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4410000 + 4875264 = 2100^2 + 2208^2 .

It is a super-2 number, since 2×9285264² = 172432255099392, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552 + ... + 4344.

Almost surely, 2^9285264 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 9285264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13760838).

9285264 is an abundant number, since it is smaller than the sum of its proper divisors (18236412).

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

9285264 is a wasteful number, since it uses less digits than its factorization.

9285264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 3815 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 9285264 is about 3047.1731161849. The cubic root of 9285264 is about 210.1832414216.

The spelling of 9285264 in words is "nine million, two hundred eighty-five thousand, two hundred sixty-four".