8142564 has 48 divisors (see below), whose sum is σ = 20321280. Its totient is φ = 2530080.

The previous prime is 8142557. The next prime is 8142569. The reversal of 8142564 is 4652418.

It is not an unprimeable number, because it can be changed into a prime (8142569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15937 + ... + 16439.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 2^8142564 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 8142564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

8142564 is an abundant number, since it is smaller than the sum of its proper divisors (12178716).

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

8142564 is a wasteful number, since it uses less digits than its factorization.

8142564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 598 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 8142564 is about 2853.5178289263. The cubic root of 8142564 is about 201.1810452654.

The spelling of 8142564 in words is "eight million, one hundred forty-two thousand, five hundred sixty-four".