1086644160 has 560 divisors, whose sum is σ = 4540764096. Its totient is φ = 241532928.

The previous prime is 1086644071. The next prime is 1086644189. The reversal of 1086644160 is 614466801.

1086644160 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 644 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 9616264 + ... + 9616376.

Almost surely, 2^1086644160 is an apocalyptic number.

1086644160 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 1086644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270382048).

1086644160 is an abundant number, since it is smaller than the sum of its proper divisors (3454119936).

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

1086644160 is a wasteful number, since it uses less digits than its factorization.

1086644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1086644160 is about 32964.2861290822. The cubic root of 1086644160 is about 1028.0852225875.

The spelling of 1086644160 in words is "one billion, eighty-six million, six hundred forty-four thousand, one hundred sixty".