1092220320 has 384 divisors, whose sum is σ = 3901685760. Its totient is φ = 255467520.

The previous prime is 1092220319. The next prime is 1092220333. The reversal of 1092220320 is 230222901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8600097 + ... + 8600223.

It is an arithmetic number, because the mean of its divisors is an integer number (10160640).

Almost surely, 2^1092220320 is an apocalyptic number.

1092220320 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 1092220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950842880).

1092220320 is an abundant number, since it is smaller than the sum of its proper divisors (2809465440).

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

1092220320 is a wasteful number, since it uses less digits than its factorization.

1092220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1092220320 is about 33048.7567088385. The cubic root of 1092220320 is about 1029.8407772227.

The spelling of 1092220320 in words is "one billion, ninety-two million, two hundred twenty thousand, three hundred twenty".