8004100 has 72 divisors (see below), whose sum is σ = 19248768. Its totient is φ = 2870400.

The previous prime is 8004097. The next prime is 8004103. The reversal of 8004100 is 14008.

It is an interprime number because it is at equal distance from previous prime (8004097) and next prime (8004103).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (8004103) 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, 61035 + ... + 61165.

It is an arithmetic number, because the mean of its divisors is an integer number (267344).

Almost surely, 2^8004100 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 8004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9624384).

8004100 is an abundant number, since it is smaller than the sum of its proper divisors (11244668).

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

8004100 is a wasteful number, since it uses less digits than its factorization.

8004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

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

The square root of 8004100 is about 2829.1518163577. The cubic root of 8004100 is about 200.0341608315.

Adding to 8004100 its reverse (14008), we get a palindrome (8018108).

It can be divided in two parts, 800 and 4100, that added together give a square (4900 = 70²).

The spelling of 8004100 in words is "eight million, four thousand, one hundred".