2086800 has 120 divisors (see below), whose sum is σ = 7011456. Its totient is φ = 529920.

The previous prime is 2086793. The next prime is 2086817. The reversal of 2086800 is 86802.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44377 + ... + 44423.

2^2086800 is an apocalyptic number.

2086800 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 2086800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505728).

2086800 is an abundant number, since it is smaller than the sum of its proper divisors (4924656).

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

2086800 is a wasteful number, since it uses less digits than its factorization.

2086800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2086800 is about 1444.5760623795. The cubic root of 2086800 is about 127.7890405251.

The spelling of 2086800 in words is "two million, eighty-six thousand, eight hundred".