216995520 has 224 divisors, whose sum is σ = 804672000. Its totient is φ = 49523712.

The previous prime is 216995489. The next prime is 216995521. The reversal of 216995520 is 25599612.

216995520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (216995521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328951 + ... + 329609.

Almost surely, 2^216995520 is an apocalyptic number.

216995520 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 216995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402336000).

216995520 is an abundant number, since it is smaller than the sum of its proper divisors (587676480).

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

216995520 is an equidigital number, since it uses as much as digits as its factorization.

216995520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 216995520 is about 14730.7678007631. The cubic root of 216995520 is about 600.9203652689.

The spelling of 216995520 in words is "two hundred sixteen million, nine hundred ninety-five thousand, five hundred twenty".