216543760 has 80 divisors (see below), whose sum is σ = 535233600. Its totient is φ = 81243648.

The previous prime is 216543757. The next prime is 216543787. The reversal of 216543760 is 67345612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165027 + ... + 166333.

It is an arithmetic number, because the mean of its divisors is an integer number (6690420).

Almost surely, 2^216543760 is an apocalyptic number.

216543760 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 216543760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267616800).

216543760 is an abundant number, since it is smaller than the sum of its proper divisors (318689840).

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

216543760 is a wasteful number, since it uses less digits than its factorization.

216543760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 216543760 is about 14715.4259197619. The cubic root of 216543760 is about 600.5030595820.

The spelling of 216543760 in words is "two hundred sixteen million, five hundred forty-three thousand, seven hundred sixty".