2086000 has 80 divisors (see below), whose sum is σ = 5803200. Its totient is φ = 710400.

The previous prime is 2085989. The next prime is 2086003. The reversal of 2086000 is 6802.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13926 + ... + 14074.

It is an arithmetic number, because the mean of its divisors is an integer number (72540).

2^2086000 is an apocalyptic number.

2086000 is a gapful number since it is divisible by the number (20) 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 2086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901600).

2086000 is an abundant number, since it is smaller than the sum of its proper divisors (3717200).

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

2086000 is a wasteful number, since it uses less digits than its factorization.

2086000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2086000 is about 1444.2991379905. The cubic root of 2086000 is about 127.7727086136.

The spelling of 2086000 in words is "two million, eighty-six thousand".