1089931200 has 504 divisors, whose sum is σ = 4103991792. Its totient is φ = 252149760.

The previous prime is 1089931189. The next prime is 1089931207. The reversal of 1089931200 is 21399801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089931207) 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 71 ways as a sum of consecutive naturals, for example, 29457582 + ... + 29457618.

Almost surely, 2^1089931200 is an apocalyptic number.

1089931200 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 1089931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051995896).

1089931200 is an abundant number, since it is smaller than the sum of its proper divisors (3014060592).

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

1089931200 is a wasteful number, since it uses less digits than its factorization.

1089931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1089931200 is about 33014.1060760397. The cubic root of 1089931200 is about 1029.1208132102.

The spelling of 1089931200 in words is "one billion, eighty-nine million, nine hundred thirty-one thousand, two hundred".