8535456 has 120 divisors (see below), whose sum is σ = 26070660. Its totient is φ = 2737152.

The previous prime is 8535437. The next prime is 8535469. The reversal of 8535456 is 6545358.

It can be written as a sum of positive squares in 2 ways, for example, as 8503056 + 32400 = 2916^2 + 180^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 8535456.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95860 + ... + 95948.

Almost surely, 2^8535456 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 8535456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035330).

8535456 is an abundant number, since it is smaller than the sum of its proper divisors (17535204).

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

8535456 is a wasteful number, since it uses less digits than its factorization.

8535456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 8535456 is about 2921.5502733994. The cubic root of 8535456 is about 204.3661245199.

The spelling of 8535456 in words is "eight million, five hundred thirty-five thousand, four hundred fifty-six".