2068900 has 36 divisors (see below), whose sum is σ = 4757508. Its totient is φ = 778240.

The previous prime is 2068897. The next prime is 2068903. The reversal of 2068900 is 98602.

It is an interprime number because it is at equal distance from previous prime (2068897) and next prime (2068903).

It can be written as a sum of positive squares in 6 ways, for example, as 12544 + 2056356 = 112^2 + 1434^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2068903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1092 + ... + 2308.

It is an arithmetic number, because the mean of its divisors is an integer number (132153).

2^2068900 is an apocalyptic number.

2068900 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 2068900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378754).

2068900 is an abundant number, since it is smaller than the sum of its proper divisors (2688608).

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

2068900 is a wasteful number, since it uses less digits than its factorization.

2068900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2068900 is about 1438.3671297690. The cubic root of 2068900 is about 127.4226109886.

The spelling of 2068900 in words is "two million, sixty-eight thousand, nine hundred".