813247344 has 320 divisors, whose sum is σ = 2913146880. Its totient is φ = 211507200.

The previous prime is 813247301. The next prime is 813247349. The reversal of 813247344 is 443742318.

It is a super-2 number, since 2×813247344² = 1322742485046108672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 813247299 and 813247308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813247349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5385669 + ... + 5385819.

It is an arithmetic number, because the mean of its divisors is an integer number (9103584).

Almost surely, 2^813247344 is an apocalyptic number.

813247344 is a gapful number since it is divisible by the number (84) 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 813247344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456573440).

813247344 is an abundant number, since it is smaller than the sum of its proper divisors (2099899536).

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

813247344 is a wasteful number, since it uses less digits than its factorization.

813247344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 813247344 is about 28517.4918953263. The cubic root of 813247344 is about 933.4138009988.

The spelling of 813247344 in words is "eight hundred thirteen million, two hundred forty-seven thousand, three hundred forty-four".