216342000 has 480 divisors, whose sum is σ = 923405184. Its totient is φ = 46080000.

The previous prime is 216341977. The next prime is 216342011. The reversal of 216342000 is 243612.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2141950 + ... + 2142050.

Almost surely, 2^216342000 is an apocalyptic number.

216342000 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 216342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461702592).

216342000 is an abundant number, since it is smaller than the sum of its proper divisors (707063184).

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

216342000 is a wasteful number, since it uses less digits than its factorization.

216342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 216342000 is about 14708.5689310687. The cubic root of 216342000 is about 600.3164996839.

Adding to 216342000 its reverse (243612), we get a palindrome (216585612).

The spelling of 216342000 in words is "two hundred sixteen million, three hundred forty-two thousand".