9645264 has 80 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 3164544.

The previous prime is 9645263. The next prime is 9645281. The reversal of 9645264 is 4625469.

9645264 = T₄₄₀ + T₄₄₁ + ... + T₅₂₂.

9645264 is a `hidden beast` number, since 9 + 645 + 2 + 6 + 4 = 666.

It is a super-2 number, since 2×9645264² = 186062235259392, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 9⁷ + 6 + 4⁸ + 5⁷ + 2¹⁹ + 6² + 4¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9645263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35722 + ... + 35990.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 2^9645264 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 9645264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

9645264 is an abundant number, since it is smaller than the sum of its proper divisors (18477936).

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

9645264 is a wasteful number, since it uses less digits than its factorization.

9645264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 357 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 9645264 is about 3105.6825336792. The cubic root of 9645264 is about 212.8652192354.

The spelling of 9645264 in words is "nine million, six hundred forty-five thousand, two hundred sixty-four".