216009756 has 18 divisors (see below), whose sum is σ = 546024752. Its totient is φ = 72003240.

The previous prime is 216009743. The next prime is 216009799. The reversal of 216009756 is 657900612.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6000271 = 216009756 / (2 + 1 + 6 + 0 + 0 + 9 + 7 + 5 + 6).

216009756 is a modest number, since divided by 9756 gives 2160 as remainder.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 216009756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3000100 + ... + 3000171.

Almost surely, 2^216009756 is an apocalyptic number.

It is an amenable number.

216009756 is an abundant number, since it is smaller than the sum of its proper divisors (330014996).

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

216009756 is a wasteful number, since it uses less digits than its factorization.

216009756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000281 (or 6000276 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 216009756 is about 14697.2703588115. The cubic root of 216009756 is about 600.0090331973.

The spelling of 216009756 in words is "two hundred sixteen million, nine thousand, seven hundred fifty-six".