8287504 has 40 divisors (see below), whose sum is σ = 16974360. Its totient is φ = 3913728.

The previous prime is 8287493. The next prime is 8287507. The reversal of 8287504 is 4057828.

It can be written as a sum of positive squares in 4 ways, for example, as 1254400 + 7033104 = 1120^2 + 2652^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 8287504.

It is not an unprimeable number, because it can be changed into a prime (8287507) 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, 24424 + ... + 24760.

It is an arithmetic number, because the mean of its divisors is an integer number (424359).

Almost surely, 2^8287504 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 8287504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487180).

8287504 is an abundant number, since it is smaller than the sum of its proper divisors (8686856).

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

8287504 is a wasteful number, since it uses less digits than its factorization.

8287504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 8287504 is about 2878.8025288303. The cubic root of 8287504 is about 202.3677254333.

It can be divided in two parts, 8 and 287504, that multiplied together give a palindrome (2300032).

The spelling of 8287504 in words is "eight million, two hundred eighty-seven thousand, five hundred four".