2068800 has 84 divisors (see below), whose sum is σ = 6803136. Its totient is φ = 550400.

The previous prime is 2068769. The next prime is 2068811. The reversal of 2068800 is 88602.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4585 + ... + 5015.

2^2068800 is an apocalyptic number.

2068800 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 2068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401568).

2068800 is an abundant number, since it is smaller than the sum of its proper divisors (4734336).

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

2068800 is a wasteful number, since it uses less digits than its factorization.

2068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 441 counting only the distinct ones).

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

The square root of 2068800 is about 1438.3323677092. The cubic root of 2068800 is about 127.4205579706.

The spelling of 2068800 in words is "two million, sixty-eight thousand, eight hundred".