8509264 has 40 divisors (see below), whose sum is σ = 18123840. Its totient is φ = 3852288.

The previous prime is 8509261. The next prime is 8509301. The reversal of 8509264 is 4629058.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8509261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6384 + ... + 7600.

It is an arithmetic number, because the mean of its divisors is an integer number (453096).

Almost surely, 2^8509264 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 8509264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9061920).

8509264 is an abundant number, since it is smaller than the sum of its proper divisors (9614576).

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

8509264 is a wasteful number, since it uses less digits than its factorization.

8509264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 8509264 is about 2917.0642776600. The cubic root of 8509264 is about 204.1568702412.

The spelling of 8509264 in words is "eight million, five hundred nine thousand, two hundred sixty-four".