813648 has 80 divisors (see below), whose sum is σ = 2428416. Its totient is φ = 232320.

The previous prime is 813647. The next prime is 813677. The reversal of 813648 is 846318.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12111 + ... + 12177.

2⁸¹³⁶⁴⁸ is an apocalyptic number.

813648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214208).

813648 is an abundant number, since it is smaller than the sum of its proper divisors (1614768).

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

813648 is a wasteful number, since it uses less digits than its factorization.

813648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 813648 is about 902.0243899142. The cubic root of 813648 is about 93.3567061646.

The spelling of 813648 in words is "eight hundred thirteen thousand, six hundred forty-eight".