216059520 has 128 divisors (see below), whose sum is σ = 704975040. Its totient is φ = 56254464.

The previous prime is 216059513. The next prime is 216059521. The reversal of 216059520 is 25950612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (216059521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81252 + ... + 83868.

Almost surely, 2^216059520 is an apocalyptic number.

216059520 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 216059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352487520).

216059520 is an abundant number, since it is smaller than the sum of its proper divisors (488915520).

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

216059520 is a wasteful number, since it uses less digits than its factorization.

216059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 216059520 is about 14698.9632287451. The cubic root of 216059520 is about 600.0551060498.

It can be divided in two parts, 21605 and 9520, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 216059520 in words is "two hundred sixteen million, fifty-nine thousand, five hundred twenty".