216600000 has 252 divisors, whose sum is σ = 755998488. Its totient is φ = 54720000.

The previous prime is 216599953. The next prime is 216600001. The reversal of 216600000 is 6612.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216600001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11399991 + ... + 11400009.

It is an arithmetic number, because the mean of its divisors is an integer number (2999994).

Almost surely, 2^216600000 is an apocalyptic number.

216600000 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 216600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377999244).

216600000 is an abundant number, since it is smaller than the sum of its proper divisors (539398488).

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

216600000 is an frugal number, since it uses more digits than its factorization.

216600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 216600000 is about 14717.3367155882. The cubic root of 216600000 is about 600.5550419446. Note that the first 3 decimals are identical.

Multiplying 216600000 by its sum of digits (15), we get a square (3249000000 = 57000²).

216600000 divided by its sum of digits (15) gives a square (14440000 = 3800²).

Adding to 216600000 its reverse (6612), we get a palindrome (216606612).

The spelling of 216600000 in words is "two hundred sixteen million, six hundred thousand".