216164520 has 576 divisors, whose sum is σ = 924955200. Its totient is φ = 43130880.

The previous prime is 216164497. The next prime is 216164551. The reversal of 216164520 is 25461612.

216164520 is a `hidden beast` number, since 2 + 1 + 616 + 45 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11377071 + ... + 11377089.

It is an arithmetic number, because the mean of its divisors is an integer number (1605825).

Almost surely, 2^216164520 is an apocalyptic number.

216164520 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 216164520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462477600).

216164520 is an abundant number, since it is smaller than the sum of its proper divisors (708790680).

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

216164520 is a wasteful number, since it uses less digits than its factorization.

216164520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 216164520 is about 14702.5344753889. The cubic root of 216164520 is about 600.1522946739.

The spelling of 216164520 in words is "two hundred sixteen million, one hundred sixty-four thousand, five hundred twenty".