1089092160 has 336 divisors, whose sum is σ = 4249277760. Its totient is φ = 253808640.

The previous prime is 1089092149. The next prime is 1089092167. The reversal of 1089092160 is 612909801.

It is a super-2 number, since 2×1089092160² = 2372243465946931200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1089092167) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 710595 + ... + 712125.

It is an arithmetic number, because the mean of its divisors is an integer number (12646660).

Almost surely, 2^1089092160 is an apocalyptic number.

1089092160 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 1089092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124638880).

1089092160 is an abundant number, since it is smaller than the sum of its proper divisors (3160185600).

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

1089092160 is a wasteful number, since it uses less digits than its factorization.

1089092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1089092160 is about 33001.3963340947. The cubic root of 1089092160 is about 1028.8566695676.

It can be divided in two parts, 10890 and 92160, that multiplied together give a square (1003622400 = 31680²).

The spelling of 1089092160 in words is "one billion, eighty-nine million, ninety-two thousand, one hundred sixty".