1086688512 has 432 divisors, whose sum is σ = 3964117248. Its totient is φ = 278691840.

The previous prime is 1086688507. The next prime is 1086688513. The reversal of 1086688512 is 2158866801.

It is a super-2 number, since 2×1086688512² = 2361783844225548288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086688513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14886108 + ... + 14886180.

Almost surely, 2^1086688512 is an apocalyptic number.

1086688512 is a gapful number since it is divisible by the number (12) 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 1086688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982058624).

1086688512 is an abundant number, since it is smaller than the sum of its proper divisors (2877428736).

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

1086688512 is a wasteful number, since it uses less digits than its factorization.

1086688512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1086688512 is about 32964.9588502701. The cubic root of 1086688512 is about 1028.0992096917.

The spelling of 1086688512 in words is "one billion, eighty-six million, six hundred eighty-eight thousand, five hundred twelve".