216731520 has 192 divisors, whose sum is σ = 756138240. Its totient is φ = 57200640.

The previous prime is 216731519. The next prime is 216731561. The reversal of 216731520 is 25137612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1100062 + ... + 1100258.

It is an arithmetic number, because the mean of its divisors is an integer number (3938220).

Almost surely, 2^216731520 is an apocalyptic number.

216731520 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 216731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378069120).

216731520 is an abundant number, since it is smaller than the sum of its proper divisors (539406720).

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

216731520 is a wasteful number, since it uses less digits than its factorization.

216731520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 216731520 is about 14721.8042372530. The cubic root of 216731520 is about 600.6765701347.

The spelling of 216731520 in words is "two hundred sixteen million, seven hundred thirty-one thousand, five hundred twenty".