216983520 has 288 divisors, whose sum is σ = 813994272. Its totient is φ = 52310016.

The previous prime is 216983519. The next prime is 216983551. The reversal of 216983520 is 25389612.

216983520 is a `hidden beast` number, since 216 + 98 + 352 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1254154 + ... + 1254326.

It is an arithmetic number, because the mean of its divisors is an integer number (2826369).

Almost surely, 2^216983520 is an apocalyptic number.

216983520 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 216983520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406997136).

216983520 is an abundant number, since it is smaller than the sum of its proper divisors (597010752).

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

216983520 is a wasteful number, since it uses less digits than its factorization.

216983520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 216983520 is about 14730.3604843873. The cubic root of 216983520 is about 600.9092879629.

The spelling of 216983520 in words is "two hundred sixteen million, nine hundred eighty-three thousand, five hundred twenty".