8006544 has 180 divisors, whose sum is σ = 28319616. Its totient is φ = 2066688.

The previous prime is 8006513. The next prime is 8006549. The reversal of 8006544 is 4456008.

8006544 is a `hidden beast` number, since 8 + 0 + 0 + 654 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8006549) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 170329 + ... + 170375.

Almost surely, 2^8006544 is an apocalyptic number.

8006544 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 8006544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14159808).

8006544 is an abundant number, since it is smaller than the sum of its proper divisors (20313072).

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

8006544 is a wasteful number, since it uses less digits than its factorization.

8006544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8006544 is about 2829.5837149659. The cubic root of 8006544 is about 200.0545184707.

The spelling of 8006544 in words is "eight million, six thousand, five hundred forty-four".