8146000 has 40 divisors (see below), whose sum is σ = 19701864. Its totient is φ = 3257600.

The previous prime is 8145971. The next prime is 8146007. The reversal of 8146000 is 6418.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 6677056 = 1212^2 + 2584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8146007) 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, 37 + ... + 4036.

Almost surely, 2^8146000 is an apocalyptic number.

8146000 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 8146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9850932).

8146000 is an abundant number, since it is smaller than the sum of its proper divisors (11555864).

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

8146000 is a wasteful number, since it uses less digits than its factorization.

8146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 8146000 is about 2854.1198292994. The cubic root of 8146000 is about 201.2093394187.

The spelling of 8146000 in words is "eight million, one hundred forty-six thousand".