8504960 has 64 divisors (see below), whose sum is σ = 20691720. Its totient is φ = 3342336.

The previous prime is 8504953. The next prime is 8504971. The reversal of 8504960 is 694058.

8504960 = 178² + 179² + ... + 314².

It can be written as a sum of positive squares in 4 ways, for example, as 6927424 + 1577536 = 2632^2 + 1256^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62012 + ... + 62148.

Almost surely, 2^8504960 is an apocalyptic number.

8504960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10345860).

8504960 is an abundant number, since it is smaller than the sum of its proper divisors (12186760).

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

8504960 is a wasteful number, since it uses less digits than its factorization.

8504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 8504960 is about 2916.3264563488. The cubic root of 8504960 is about 204.1224434738.

The spelling of 8504960 in words is "eight million, five hundred four thousand, nine hundred sixty".