1205008 has 60 divisors (see below), whose sum is σ = 2862540. Its totient is φ = 489216.

The previous prime is 1204981. The next prime is 1205027. The reversal of 1205008 is 8005021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 753424 + 451584 = 868^2 + 672^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1204982 and 1205000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22710 + ... + 22762.

It is an arithmetic number, because the mean of its divisors is an integer number (47709).

2^1205008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431270).

1205008 is an abundant number, since it is smaller than the sum of its proper divisors (1657532).

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

1205008 is a wasteful number, since it uses less digits than its factorization.

1205008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1205008 is about 1097.7285638991. The cubic root of 1205008 is about 106.4134793634.

The spelling of 1205008 in words is "one million, two hundred five thousand, eight".