1092811680 has 144 divisors (see below), whose sum is σ = 3948674184. Its totient is φ = 274268160.

The previous prime is 1092811667. The next prime is 1092811691. The reversal of 1092811680 is 861182901.

It can be written as a sum of positive squares in 4 ways, for example, as 1055210256 + 37601424 = 32484^2 + 6132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 2160 + ... + 46800.

Almost surely, 2^1092811680 is an apocalyptic number.

1092811680 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 1092811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974337092).

1092811680 is an abundant number, since it is smaller than the sum of its proper divisors (2855862504).

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

1092811680 is a wasteful number, since it uses less digits than its factorization.

1092811680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44679 (or 44668 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1092811680 is about 33057.7022794991. The cubic root of 1092811680 is about 1030.0266056533.

The spelling of 1092811680 in words is "one billion, ninety-two million, eight hundred eleven thousand, six hundred eighty".