216741504 has 96 divisors (see below), whose sum is σ = 669772800. Its totient is φ = 61920768.

The previous prime is 216741463. The next prime is 216741529. The reversal of 216741504 is 405147612.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 13057 + ... + 24575.

It is an arithmetic number, because the mean of its divisors is an integer number (6976800).

Almost surely, 2^216741504 is an apocalyptic number.

216741504 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 216741504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334886400).

216741504 is an abundant number, since it is smaller than the sum of its proper divisors (453031296).

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

216741504 is a wasteful number, since it uses less digits than its factorization.

216741504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11550 (or 11531 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 216741504 is about 14722.1433222204. The cubic root of 216741504 is about 600.6857936243.

The spelling of 216741504 in words is "two hundred sixteen million, seven hundred forty-one thousand, five hundred four".