8106000 has 160 divisors (see below), whose sum is σ = 30021888. Its totient is φ = 1843200.

The previous prime is 8105983. The next prime is 8106001. The reversal of 8106000 is 6018.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (8106001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41904 + ... + 42096.

Almost surely, 2^8106000 is an apocalyptic number.

8106000 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 8106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010944).

8106000 is an abundant number, since it is smaller than the sum of its proper divisors (21915888).

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

8106000 is a wasteful number, since it uses less digits than its factorization.

8106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8106000 is about 2847.1037915749. The cubic root of 8106000 is about 200.8794604118.

The spelling of 8106000 in words is "eight million, one hundred six thousand".