1089940800 has 168 divisors, whose sum is σ = 3851204896. Its totient is φ = 268277760.

The previous prime is 1089940769. The next prime is 1089940837. The reversal of 1089940800 is 80499801.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 53667 + ... + 71133.

Almost surely, 2^1089940800 is an apocalyptic number.

1089940800 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 1089940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925602448).

1089940800 is an abundant number, since it is smaller than the sum of its proper divisors (2761264096).

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

1089940800 is a wasteful number, since it uses less digits than its factorization.

1089940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17505 (or 17490 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 1089940800 is about 33014.2514681160. The cubic root of 1089940800 is about 1029.1238346642.

The spelling of 1089940800 in words is "one billion, eighty-nine million, nine hundred forty thousand, eight hundred".