813748096 has 96 divisors (see below), whose sum is σ = 1968155280. Its totient is φ = 333527040.

The previous prime is 813748049. The next prime is 813748099. The reversal of 813748096 is 690847318.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813748099) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141436 + ... + 147076.

Almost surely, 2^813748096 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 813748096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984077640).

813748096 is an abundant number, since it is smaller than the sum of its proper divisors (1154407184).

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

813748096 is a wasteful number, since it uses less digits than its factorization.

813748096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 813748096 is about 28526.2702784644. The cubic root of 813748096 is about 933.6053429403.

It can be divided in two parts, 81 and 3748096, that multiplied together give a 4-th power (303595776 = 132⁴).

The spelling of 813748096 in words is "eight hundred thirteen million, seven hundred forty-eight thousand, ninety-six".