8192000 has 68 divisors (see below), whose sum is σ = 20447076. Its totient is φ = 3276800.

The previous prime is 8191991. The next prime is 8192003. The reversal of 8192000 is 2918.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 7929856 = 512^2 + 2816^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8192003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1638398 + ... + 1638402.

Almost surely, 2^8192000 is an apocalyptic number.

8192000 is a gapful number since it is divisible by the number (80) 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 8192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223538).

8192000 is an abundant number, since it is smaller than the sum of its proper divisors (12255076).

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

8192000 is an frugal number, since it uses more digits than its factorization.

8192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 8192000 is about 2862.1670111997. The cubic root of 8192000 is about 201.5873679832.

Multiplying 8192000 by its sum of digits (20), we get a square (163840000 = 12800²).

8192000 divided by its sum of digits (20) gives a square (409600 = 640²).

Adding to 8192000 its reverse (2918), we get a palindrome (8194918).

The spelling of 8192000 in words is "eight million, one hundred ninety-two thousand".