216024520 has 64 divisors (see below), whose sum is σ = 496782720. Its totient is φ = 84524544.

The previous prime is 216024517. The next prime is 216024551. The reversal of 216024520 is 25420612.

It is a junction number, because it is equal to n+sod(n) for n = 216024491 and 216024500.

It is an unprimeable number.

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, 487419 + ... + 487861.

It is an arithmetic number, because the mean of its divisors is an integer number (7762230).

Almost surely, 2^216024520 is an apocalyptic number.

216024520 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 216024520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248391360).

216024520 is an abundant number, since it is smaller than the sum of its proper divisors (280758200).

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

216024520 is a wasteful number, since it uses less digits than its factorization.

216024520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 216024520 is about 14697.7726203667. The cubic root of 216024520 is about 600.0227028447.

The spelling of 216024520 in words is "two hundred sixteen million, twenty-four thousand, five hundred twenty".