216632520 has 192 divisors, whose sum is σ = 777394800. Its totient is φ = 51978240.

The previous prime is 216632519. The next prime is 216632531. The reversal of 216632520 is 25236612.

216632520 is a `hidden beast` number, since 2 + 1 + 6 + 632 + 5 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12996 + 216619524 = 114^2 + 14718^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191316 + ... + 192444.

Almost surely, 2^216632520 is an apocalyptic number.

216632520 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 216632520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388697400).

216632520 is an abundant number, since it is smaller than the sum of its proper divisors (560762280).

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

216632520 is a wasteful number, since it uses less digits than its factorization.

216632520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 216632520 is about 14718.4414935821. The cubic root of 216632520 is about 600.5850959191.

The spelling of 216632520 in words is "two hundred sixteen million, six hundred thirty-two thousand, five hundred twenty".