1085275776 has 128 divisors (see below), whose sum is σ = 3205117440. Its totient is φ = 323112960.

The previous prime is 1085275771. The next prime is 1085275799. The reversal of 1085275776 is 6775725801.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1085275771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151246 + ... + 158258.

It is an arithmetic number, because the mean of its divisors is an integer number (25039980).

Almost surely, 2^1085275776 is an apocalyptic number.

1085275776 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 1085275776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602558720).

1085275776 is an abundant number, since it is smaller than the sum of its proper divisors (2119841664).

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

1085275776 is a wasteful number, since it uses less digits than its factorization.

1085275776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074 (or 7062 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The square root of 1085275776 is about 32943.5240373582. The cubic root of 1085275776 is about 1027.6534939201.

The spelling of 1085275776 in words is "one billion, eighty-five million, two hundred seventy-five thousand, seven hundred seventy-six".