1205323920 has 120 divisors (see below), whose sum is σ = 4066573056. Its totient is φ = 319935744.

The previous prime is 1205323913. The next prime is 1205323937. The reversal of 1205323920 is 293235021.

1205323920 is a `hidden beast` number, since 120 + 532 + 3 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156807 + ... + 164313.

Almost surely, 2^1205323920 is an apocalyptic number.

1205323920 is a gapful number since it is divisible by the number (10) 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 1205323920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033286528).

1205323920 is an abundant number, since it is smaller than the sum of its proper divisors (2861249136).

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

1205323920 is a wasteful number, since it uses less digits than its factorization.

1205323920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7749 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1205323920 is about 34717.7752743461. The cubic root of 1205323920 is about 1064.2277811463.

Adding to 1205323920 its reverse (293235021), we get a palindrome (1498558941).

The spelling of 1205323920 in words is "one billion, two hundred five million, three hundred twenty-three thousand, nine hundred twenty".