1086640128 has 156 divisors (see below), whose sum is σ = 3588051168. Its totient is φ = 310394880.

The previous prime is 1086640099. The next prime is 1086640133. The reversal of 1086640128 is 8210466801.

1086640128 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 640 + 1 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1086640092 and 1086640101.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 255943 + ... + 260153.

It is an arithmetic number, because the mean of its divisors is an integer number (23000328).

Almost surely, 2^1086640128 is an apocalyptic number.

1086640128 is a gapful number since it is divisible by the number (18) 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 1086640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794025584).

1086640128 is an abundant number, since it is smaller than the sum of its proper divisors (2501411040).

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

1086640128 is an equidigital number, since it uses as much as digits as its factorization.

1086640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1086640128 is about 32964.2249719298. The cubic root of 1086640128 is about 1028.0839510137.

The spelling of 1086640128 in words is "one billion, eighty-six million, six hundred forty thousand, one hundred twenty-eight".