813696 has 64 divisors (see below), whose sum is σ = 2341920. Its totient is φ = 248832.

The previous prime is 813677. The next prime is 813697. The reversal of 813696 is 696318.

It is a tau number, because it is divible by the number of its divisors (64).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (813697) 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 7 ways as a sum of consecutive naturals, for example, 4911 + ... + 5073.

2⁸¹³⁶⁹⁶ 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 813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170960).

813696 is an abundant number, since it is smaller than the sum of its proper divisors (1528224).

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

813696 is a wasteful number, since it uses less digits than its factorization.

813696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 813696 is about 902.0509963411. The cubic root of 813696 is about 93.3585419436.

The spelling of 813696 in words is "eight hundred thirteen thousand, six hundred ninety-six".