1205568 has 168 divisors, whose sum is σ = 4437888. Its totient is φ = 304128.

The previous prime is 1205563. The next prime is 1205609. The reversal of 1205568 is 8655021.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205563) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52405 + ... + 52427.

It is an arithmetic number, because the mean of its divisors is an integer number (26416).

2^1205568 is an apocalyptic number.

1205568 is a gapful number since it is divisible by the number (18) 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 1205568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218944).

1205568 is an abundant number, since it is smaller than the sum of its proper divisors (3232320).

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

1205568 is a wasteful number, since it uses less digits than its factorization.

1205568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1205568 is about 1097.9836064350. The cubic root of 1205568 is about 106.4299612234.

The spelling of 1205568 in words is "one million, two hundred five thousand, five hundred sixty-eight".