1089435776 has 128 divisors (see below), whose sum is σ = 2600216640. Its totient is φ = 448081920.

The previous prime is 1089435757. The next prime is 1089435797. The reversal of 1089435776 is 6775349801.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 969551 + ... + 970673.

Almost surely, 2^1089435776 is an apocalyptic number.

1089435776 is a gapful number since it is divisible by the number (16) 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 1089435776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300108320).

1089435776 is an abundant number, since it is smaller than the sum of its proper divisors (1510780864).

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

1089435776 is a wasteful number, since it uses less digits than its factorization.

1089435776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 50.

The square root of 1089435776 is about 33006.6020062654. The cubic root of 1089435776 is about 1028.9648619540.

Subtracting 1089435776 from its reverse (6775349801), we obtain a square (5685914025 = 75405²).

The spelling of 1089435776 in words is "one billion, eighty-nine million, four hundred thirty-five thousand, seven hundred seventy-six".