216216576 has 132 divisors (see below), whose sum is σ = 646647300. Its totient is φ = 69500928.

The previous prime is 216216569. The next prime is 216216593. The reversal of 216216576 is 675612612.

It is a happy number.

216216576 is a `hidden beast` number, since 21 + 62 + 1 + 6 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 155750400 + 60466176 = 12480^2 + 7776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30240) is a multiple of the sum of its prime factors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 216216576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266860 + ... + 267668.

Almost surely, 2^216216576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216216576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323323650).

216216576 is an abundant number, since it is smaller than the sum of its proper divisors (430430724).

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

216216576 is a wasteful number, since it uses less digits than its factorization.

216216576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 843 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 216216576 is about 14704.3046758424. The cubic root of 216216576 is about 600.2004663479.

The spelling of 216216576 in words is "two hundred sixteen million, two hundred sixteen thousand, five hundred seventy-six".