1093086400 has 168 divisors, whose sum is σ = 3255300576. Its totient is φ = 352665600.

The previous prime is 1093086391. The next prime is 1093086413. The reversal of 1093086400 is 46803901.

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 23 ways as a sum of consecutive naturals, for example, 187530 + ... + 193270.

Almost surely, 2^1093086400 is an apocalyptic number.

1093086400 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 1093086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627650288).

1093086400 is an abundant number, since it is smaller than the sum of its proper divisors (2162214176).

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

1093086400 is a wasteful number, since it uses less digits than its factorization.

1093086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1093086400 is about 33061.8571771157. The cubic root of 1093086400 is about 1030.1129106120.

The spelling of 1093086400 in words is "one billion, ninety-three million, eighty-six thousand, four hundred".