8006562 has 48 divisors (see below), whose sum is σ = 18738720. Its totient is φ = 2462400.

The previous prime is 8006561. The next prime is 8006563. The reversal of 8006562 is 2656008.

8006562 is a `hidden beast` number, since 8 + 0 + 0 + 656 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (8006561) and next prime (8006563).

It is not an unprimeable number, because it can be changed into a prime (8006561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13737 + ... + 14307.

It is an arithmetic number, because the mean of its divisors is an integer number (390390).

Almost surely, 2^8006562 is an apocalyptic number.

8006562 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8006562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9369360).

8006562 is an abundant number, since it is smaller than the sum of its proper divisors (10732158).

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

8006562 is a wasteful number, since it uses less digits than its factorization.

8006562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8006562 is about 2829.5868956440. The cubic root of 8006562 is about 200.0546683888.

The spelling of 8006562 in words is "eight million, six thousand, five hundred sixty-two".