814016 has 56 divisors (see below), whose sum is σ = 1950720. Its totient is φ = 329472.

The previous prime is 814013. The next prime is 814019. The reversal of 814016 is 610418.

It is an interprime number because it is at equal distance from previous prime (814013) and next prime (814019).

It is a tau number, because it is divible by the number of its divisors (56).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10265 + ... + 10343.

2⁸¹⁴⁰¹⁶ 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 814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975360).

814016 is an abundant number, since it is smaller than the sum of its proper divisors (1136704).

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

814016 is a wasteful number, since it uses less digits than its factorization.

814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 814016 is about 902.2283524696. The cubic root of 814016 is about 93.3707786257.

The spelling of 814016 in words is "eight hundred fourteen thousand, sixteen".