1086134016 has 144 divisors (see below), whose sum is σ = 3193545600. Its totient is φ = 324956160.

The previous prime is 1086134003. The next prime is 1086134041. The reversal of 1086134016 is 6104316801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700410 + ... + 701958.

It is an arithmetic number, because the mean of its divisors is an integer number (22177400).

Almost surely, 2^1086134016 is an apocalyptic number.

1086134016 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 1086134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596772800).

1086134016 is an abundant number, since it is smaller than the sum of its proper divisors (2107411584).

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

1086134016 is a wasteful number, since it uses less digits than its factorization.

1086134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1086134016 is about 32956.5473919827. The cubic root of 1086134016 is about 1027.9243132415.

The spelling of 1086134016 in words is "one billion, eighty-six million, one hundred thirty-four thousand, sixteen".