1089871200 has 540 divisors, whose sum is σ = 4400148060. Its totient is φ = 262310400.

The previous prime is 1089871151. The next prime is 1089871213. The reversal of 1089871200 is 21789801.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 89 ways as a sum of consecutive naturals, for example, 7840731 + ... + 7840869.

Almost surely, 2^1089871200 is an apocalyptic number.

1089871200 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 1089871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200074030).

1089871200 is an abundant number, since it is smaller than the sum of its proper divisors (3310276860).

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

1089871200 is a wasteful number, since it uses less digits than its factorization.

1089871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1089871200 is about 33013.1973610555. The cubic root of 1089871200 is about 1029.1019287210.

The spelling of 1089871200 in words is "one billion, eighty-nine million, eight hundred seventy-one thousand, two hundred".