216085520 has 80 divisors (see below), whose sum is σ = 581212800. Its totient is φ = 73178112.

The previous prime is 216085481. The next prime is 216085523. The reversal of 216085520 is 25580612.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (216085523) 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, 44156 + ... + 48804.

It is an arithmetic number, because the mean of its divisors is an integer number (7265160).

Almost surely, 2^216085520 is an apocalyptic number.

216085520 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 216085520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290606400).

216085520 is an abundant number, since it is smaller than the sum of its proper divisors (365127280).

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

216085520 is a wasteful number, since it uses less digits than its factorization.

216085520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 216085520 is about 14699.8476182578. The cubic root of 216085520 is about 600.0791747370.

The spelling of 216085520 in words is "two hundred sixteen million, eighty-five thousand, five hundred twenty".