1086688 has 24 divisors (see below), whose sum is σ = 2215080. Its totient is φ = 524160.

The previous prime is 1086677. The next prime is 1086689. The reversal of 1086688 is 8866801.

1086688 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086689) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 343 + ... + 1513.

It is an arithmetic number, because the mean of its divisors is an integer number (92295).

2^1086688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1086688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107540).

1086688 is an abundant number, since it is smaller than the sum of its proper divisors (1128392).

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

1086688 is a wasteful number, since it uses less digits than its factorization.

1086688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 1086688 is about 1042.4432838289. The cubic root of 1086688 is about 102.8099048227.

The spelling of 1086688 in words is "one million, eighty-six thousand, six hundred eighty-eight".