9252864 has 78 divisors (see below), whose sum is σ = 26833716. Its totient is φ = 3072000.

The previous prime is 9252863. The next prime is 9252883. The reversal of 9252864 is 4682529.

It is a happy number.

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

Its product of digits (34560) is a multiple of the sum of its prime divisors (256).

It is not an unprimeable number, because it can be changed into a prime (9252863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36739 + ... + 36989.

It is an arithmetic number, because the mean of its divisors is an integer number (344022).

Almost surely, 2^9252864 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 9252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416858).

9252864 is an abundant number, since it is smaller than the sum of its proper divisors (17580852).

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

9252864 is a wasteful number, since it uses less digits than its factorization.

9252864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 256 counting only the distinct ones).

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

The square root of 9252864 is about 3041.8520674089. The cubic root of 9252864 is about 209.9384853838.

The spelling of 9252864 in words is "nine million, two hundred fifty-two thousand, eight hundred sixty-four".