213793344 has 168 divisors, whose sum is σ = 649041120. Its totient is φ = 69755904.

The previous prime is 213793319. The next prime is 213793351. The reversal of 213793344 is 443397312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213793299 and 213793308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 917452 + ... + 917684.

It is an arithmetic number, because the mean of its divisors is an integer number (3863340).

Almost surely, 2^213793344 is an apocalyptic number.

213793344 is a gapful number since it is divisible by the number (24) 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 213793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324520560).

213793344 is an abundant number, since it is smaller than the sum of its proper divisors (435247776).

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

213793344 is an equidigital number, since it uses as much as digits as its factorization.

213793344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 297 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 213793344 is about 14621.6737755976. The cubic root of 213793344 is about 597.9498024627.

It can be divided in two parts, 2137 and 93344, that added together give a square (95481 = 309²).

The spelling of 213793344 in words is "two hundred thirteen million, seven hundred ninety-three thousand, three hundred forty-four".