216720504 has 384 divisors, whose sum is σ = 821882880. Its totient is φ = 49766400.

The previous prime is 216720499. The next prime is 216720521. The reversal of 216720504 is 405027612.

216720504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2234184 + ... + 2234280.

It is an arithmetic number, because the mean of its divisors is an integer number (2140320).

Almost surely, 2^216720504 is an apocalyptic number.

216720504 is a gapful number since it is divisible by the number (24) 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 216720504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410941440).

216720504 is an abundant number, since it is smaller than the sum of its proper divisors (605162376).

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

216720504 is a wasteful number, since it uses less digits than its factorization.

216720504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 216720504 is about 14721.4300935745. The cubic root of 216720504 is about 600.6663929268. Note that the first 3 decimals are identical.

The spelling of 216720504 in words is "two hundred sixteen million, seven hundred twenty thousand, five hundred four".