8009892 has 72 divisors (see below), whose sum is σ = 22407840. Its totient is φ = 2392320.

The previous prime is 8009863. The next prime is 8009893. The reversal of 8009892 is 2989008.

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

It is not an unprimeable number, because it can be changed into a prime (8009893) 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 23 ways as a sum of consecutive naturals, for example, 44659 + ... + 44837.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 2^8009892 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 8009892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203920).

8009892 is an abundant number, since it is smaller than the sum of its proper divisors (14397948).

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

8009892 is a wasteful number, since it uses less digits than its factorization.

8009892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 8009892 is about 2830.1752595908. The cubic root of 8009892 is about 200.0823993804.

The spelling of 8009892 in words is "eight million, nine thousand, eight hundred ninety-two".