1089884160 has 364 divisors, whose sum is σ = 3975026772. Its totient is φ = 286654464.

The previous prime is 1089884153. The next prime is 1089884171. The reversal of 1089884160 is 614889801.

It can be written as a sum of positive squares in 2 ways, for example, as 504631296 + 585252864 = 22464^2 + 24192^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14929884 + ... + 14929956.

Almost surely, 2^1089884160 is an apocalyptic number.

1089884160 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 1089884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987513386).

1089884160 is an abundant number, since it is smaller than the sum of its proper divisors (2885142612).

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

1089884160 is an frugal number, since it uses more digits than its factorization.

1089884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1089884160 is about 33013.3936456100. The cubic root of 1089884160 is about 1029.1060078294.

The spelling of 1089884160 in words is "one billion, eighty-nine million, eight hundred eighty-four thousand, one hundred sixty".