1093072320 has 168 divisors, whose sum is σ = 3899239344. Its totient is φ = 291465216.

The previous prime is 1093072319. The next prime is 1093072327. The reversal of 1093072320 is 232703901.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093072327) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 70732 + ... + 84788.

It is an arithmetic number, because the mean of its divisors is an integer number (23209758).

Almost surely, 2^1093072320 is an apocalyptic number.

1093072320 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 1093072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949619672).

1093072320 is an abundant number, since it is smaller than the sum of its proper divisors (2806167024).

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

1093072320 is an equidigital number, since it uses as much as digits as its factorization.

1093072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14089 (or 14067 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1093072320 is about 33061.6442422333. The cubic root of 1093072320 is about 1030.1084876459.

The spelling of 1093072320 in words is "one billion, ninety-three million, seventy-two thousand, three hundred twenty".