813936 has 40 divisors (see below), whose sum is σ = 2174464. Its totient is φ = 262080.

The previous prime is 813931. The next prime is 813961. The reversal of 813936 is 639318.

813936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813931) by changing a digit.

813936 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 7 ways as a sum of consecutive naturals, for example, 1215 + ... + 1761.

2⁸¹³⁹³⁶ 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 813936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087232).

813936 is an abundant number, since it is smaller than the sum of its proper divisors (1360528).

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

813936 is a wasteful number, since it uses less digits than its factorization.

813936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 813936 is about 902.1840167061. The cubic root of 813936 is about 93.3677197559.

The spelling of 813936 in words is "eight hundred thirteen thousand, nine hundred thirty-six".