8104000 has 56 divisors (see below), whose sum is σ = 20089368. Its totient is φ = 3238400.

The previous prime is 8103983. The next prime is 8104007. The reversal of 8104000 is 4018.

It can be written as a sum of positive squares in 4 ways, for example, as 2458624 + 5645376 = 1568^2 + 2376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8104007) 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, 7494 + ... + 8506.

Almost surely, 2^8104000 is an apocalyptic number.

8104000 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 8104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10044684).

8104000 is an abundant number, since it is smaller than the sum of its proper divisors (11985368).

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

8104000 is a wasteful number, since it uses less digits than its factorization.

8104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8104000 is about 2846.7525357853. The cubic root of 8104000 is about 200.8629380017.

Adding to 8104000 its reverse (4018), we get a palindrome (8108018).

It can be divided in two parts, 810 and 4000, that multiplied together give a square (3240000 = 1800²).

The spelling of 8104000 in words is "eight million, one hundred four thousand".