8712564 has 96 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 2291328.

The previous prime is 8712547. The next prime is 8712577. The reversal of 8712564 is 4652178.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84537 + ... + 84639.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^8712564 is an apocalyptic number.

8712564 is a gapful number since it is divisible by the number (84) 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 8712564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

8712564 is an abundant number, since it is smaller than the sum of its proper divisors (16447116).

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

8712564 is a wasteful number, since it uses less digits than its factorization.

8712564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 8712564 is about 2951.7052698398. The cubic root of 8712564 is about 205.7699697692.

The spelling of 8712564 in words is "eight million, seven hundred twelve thousand, five hundred sixty-four".