213336000 has 168 divisors, whose sum is σ = 763395984. Its totient is φ = 56870400.

The previous prime is 213335951. The next prime is 213336007. The reversal of 213336000 is 633312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213336007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70519 + ... + 73481.

Almost surely, 2^213336000 is an apocalyptic number.

213336000 is a gapful number since it is divisible by the number (20) 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 213336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381697992).

213336000 is an abundant number, since it is smaller than the sum of its proper divisors (550059984).

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

213336000 is a wasteful number, since it uses less digits than its factorization.

213336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213336000 is about 14606.0261536121. The cubic root of 213336000 is about 597.5231225332.

Adding to 213336000 its reverse (633312), we get a palindrome (213969312).

The spelling of 213336000 in words is "two hundred thirteen million, three hundred thirty-six thousand".