1132393920 has 448 divisors, whose sum is σ = 4437888000. Its totient is φ = 243855360.

The previous prime is 1132393909. The next prime is 1132393957. The reversal of 1132393920 is 293932311.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6256230 + ... + 6256410.

It is an arithmetic number, because the mean of its divisors is an integer number (9906000).

Almost surely, 2^1132393920 is an apocalyptic number.

1132393920 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 1132393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218944000).

1132393920 is an abundant number, since it is smaller than the sum of its proper divisors (3305494080).

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

1132393920 is a wasteful number, since it uses less digits than its factorization.

1132393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 1132393920 is about 33651.0612016917. The cubic root of 1132393920 is about 1042.3154524984.

The spelling of 1132393920 in words is "one billion, one hundred thirty-two million, three hundred ninety-three thousand, nine hundred twenty".