216720576 has 112 divisors (see below), whose sum is σ = 641786880. Its totient is φ = 71712000.

The previous prime is 216720571. The next prime is 216720587. The reversal of 216720576 is 675027612.

216720576 is a `hidden beast` number, since 2 + 1 + 67 + 20 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 216720576.

It is not an unprimeable number, because it can be changed into a prime (216720571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288201 + ... + 288951.

It is an arithmetic number, because the mean of its divisors is an integer number (5730240).

Almost surely, 2^216720576 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 216720576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320893440).

216720576 is an abundant number, since it is smaller than the sum of its proper divisors (425066304).

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

216720576 is a wasteful number, since it uses less digits than its factorization.

216720576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 216720576 is about 14721.4325389889. The cubic root of 216720576 is about 600.6664594456. Note that the first 3 decimals are identical.

The spelling of 216720576 in words is "two hundred sixteen million, seven hundred twenty thousand, five hundred seventy-six".