213006336 has 96 divisors (see below), whose sum is σ = 583848720. Its totient is φ = 69009408.

The previous prime is 213006331. The next prime is 213006337. The reversal of 213006336 is 633600312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×213006336² = 90743398352289792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213006331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226860 + ... + 227796.

Almost surely, 2^213006336 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 213006336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291924360).

213006336 is an abundant number, since it is smaller than the sum of its proper divisors (370842384).

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

213006336 is an equidigital number, since it uses as much as digits as its factorization.

213006336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 213006336 is about 14594.7365854955. The cubic root of 213006336 is about 597.2151835482.

Adding to 213006336 its reverse (633600312), we get a palindrome (846606648).

The spelling of 213006336 in words is "two hundred thirteen million, six thousand, three hundred thirty-six".