216021000 has 256 divisors, whose sum is σ = 754790400. Its totient is φ = 51072000.

The previous prime is 216020963. The next prime is 216021011. The reversal of 216021000 is 120612.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130905 + ... + 1131095.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^216021000 is an apocalyptic number.

216021000 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 216021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

216021000 is an abundant number, since it is smaller than the sum of its proper divisors (538769400).

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

216021000 is a wasteful number, since it uses less digits than its factorization.

216021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 216021000 is about 14697.6528738435. The cubic root of 216021000 is about 600.0194438143.

Adding to 216021000 its reverse (120612), we get a palindrome (216141612).

The spelling of 216021000 in words is "two hundred sixteen million, twenty-one thousand".