1205932320 has 384 divisors, whose sum is σ = 4506969600. Its totient is φ = 300478464.

The previous prime is 1205932319. The next prime is 1205932331. The reversal of 1205932320 is 232395021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5265966 + ... + 5266194.

It is an arithmetic number, because the mean of its divisors is an integer number (11736900).

Almost surely, 2^1205932320 is an apocalyptic number.

1205932320 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 1205932320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253484800).

1205932320 is an abundant number, since it is smaller than the sum of its proper divisors (3301037280).

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

1205932320 is a wasteful number, since it uses less digits than its factorization.

1205932320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

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

The square root of 1205932320 is about 34726.5362511149. The cubic root of 1205932320 is about 1064.4068111043.

The spelling of 1205932320 in words is "one billion, two hundred five million, nine hundred thirty-two thousand, three hundred twenty".