1085949984 has 96 divisors (see below), whose sum is σ = 3263016960. Its totient is φ = 309779712.

The previous prime is 1085949983. The next prime is 1085949989. The reversal of 1085949984 is 4899495801.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1085949983) 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, 753937 + ... + 755375.

It is an arithmetic number, because the mean of its divisors is an integer number (33989760).

Almost surely, 2^1085949984 is an apocalyptic number.

1085949984 is a gapful number since it is divisible by the number (14) 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 1085949984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631508480).

1085949984 is an abundant number, since it is smaller than the sum of its proper divisors (2177066976).

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

1085949984 is a wasteful number, since it uses less digits than its factorization.

1085949984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The square root of 1085949984 is about 32953.7552336604. The cubic root of 1085949984 is about 1027.8662536007.

The spelling of 1085949984 in words is "one billion, eighty-five million, nine hundred forty-nine thousand, nine hundred eighty-four".