8002192 has 40 divisors (see below), whose sum is σ = 17811360. Its totient is φ = 3444480.

The previous prime is 8002177. The next prime is 8002193. The reversal of 8002192 is 2912008.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8002193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2148 + ... + 4540.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^8002192 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 8002192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905680).

8002192 is an abundant number, since it is smaller than the sum of its proper divisors (9809168).

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

8002192 is a wasteful number, since it uses less digits than its factorization.

8002192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 8002192 is about 2828.8145927225. The cubic root of 8002192 is about 200.0182649986.

It can be divided in two parts, 800 and 2192, that added together give a palindrome (2992).

The spelling of 8002192 in words is "eight million, two thousand, one hundred ninety-two".