1086616000 has 112 divisors (see below), whose sum is σ = 2764487232. Its totient is φ = 422784000.

The previous prime is 1086615973. The next prime is 1086616031. The reversal of 1086616000 is 6166801.

It is a self number, because there is not a number n which added to its sum of digits gives 1086616000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294165 + ... + 297835.

Almost surely, 2^1086616000 is an apocalyptic number.

1086616000 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 1086616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382243616).

1086616000 is an abundant number, since it is smaller than the sum of its proper divisors (1677871232).

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

1086616000 is an equidigital number, since it uses as much as digits as its factorization.

1086616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1086616000 is about 32963.8589973929. The cubic root of 1086616000 is about 1028.0763416888.

The spelling of 1086616000 in words is "one billion, eighty-six million, six hundred sixteen thousand".