216709000 has 64 divisors (see below), whose sum is σ = 520893360. Its totient is φ = 84326400.

The previous prime is 216708991. The next prime is 216709001. The reversal of 216709000 is 907612.

It can be written as a sum of positive squares in 8 ways, for example, as 86155524 + 130553476 = 9282^2 + 11426^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (216709001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34072 + ... + 39928.

Almost surely, 2^216709000 is an apocalyptic number.

216709000 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 216709000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260446680).

216709000 is an abundant number, since it is smaller than the sum of its proper divisors (304184360).

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

216709000 is a wasteful number, since it uses less digits than its factorization.

216709000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 216709000 is about 14721.0393654796. The cubic root of 216709000 is about 600.6557645086.

The spelling of 216709000 in words is "two hundred sixteen million, seven hundred nine thousand".