1086988320 has 288 divisors, whose sum is σ = 4081057344. Its totient is φ = 261273600.

The previous prime is 1086988249. The next prime is 1086988321. The reversal of 1086988320 is 238896801.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1086988321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2581710 + ... + 2582130.

It is an arithmetic number, because the mean of its divisors is an integer number (14170338).

Almost surely, 2^1086988320 is an apocalyptic number.

1086988320 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 1086988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040528672).

1086988320 is an abundant number, since it is smaller than the sum of its proper divisors (2994069024).

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

1086988320 is a wasteful number, since it uses less digits than its factorization.

1086988320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1086988320 is about 32969.5059107655. The cubic root of 1086988320 is about 1028.1937489035.

The spelling of 1086988320 in words is "one billion, eighty-six million, nine hundred eighty-eight thousand, three hundred twenty".