213091200 has 432 divisors, whose sum is σ = 890355960. Its totient is φ = 48384000.

The previous prime is 213091189. The next prime is 213091201. The reversal of 213091200 is 2190312.

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 (213091201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1411125 + ... + 1411275.

Almost surely, 2^213091200 is an apocalyptic number.

213091200 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 213091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445177980).

213091200 is an abundant number, since it is smaller than the sum of its proper divisors (677264760).

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

213091200 is a wasteful number, since it uses less digits than its factorization.

213091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 213091200 is about 14597.6436454655. The cubic root of 213091200 is about 597.2944853208.

The spelling of 213091200 in words is "two hundred thirteen million, ninety-one thousand, two hundred".