814086 has 72 divisors (see below), whose sum is σ = 2240784. Its totient is φ = 211680.

The previous prime is 814081. The next prime is 814097. The reversal of 814086 is 680418.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814081) by changing a digit.

814086 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11431 + ... + 11501.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2⁸¹⁴⁰⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120392).

814086 is an abundant number, since it is smaller than the sum of its proper divisors (1426698).

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

814086 is a wasteful number, since it uses less digits than its factorization.

814086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 814086 is about 902.2671444755. The cubic root of 814086 is about 93.3734549725.

The spelling of 814086 in words is "eight hundred fourteen thousand, eighty-six".