813193984 has 72 divisors (see below), whose sum is σ = 1715259392. Its totient is φ = 384168960.

The previous prime is 813193981. The next prime is 813194059. The reversal of 813193984 is 489391318.

It is a happy number.

It is a super-4 number, since 4×813193984⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (813193981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340057 + ... + 342439.

Almost surely, 2^813193984 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 813193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857629696).

813193984 is an abundant number, since it is smaller than the sum of its proper divisors (902065408).

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

813193984 is a wasteful number, since it uses less digits than its factorization.

813193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2459 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The square root of 813193984 is about 28516.5563138328. The cubic root of 813193984 is about 933.3933857052.

The spelling of 813193984 in words is "eight hundred thirteen million, one hundred ninety-three thousand, nine hundred eighty-four".