216348960 has 48 divisors (see below), whose sum is σ = 681500736. Its totient is φ = 57692928.

The previous prime is 216348941. The next prime is 216348967. The reversal of 216348960 is 69843612.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (216348967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224884 + ... + 225843.

It is an arithmetic number, because the mean of its divisors is an integer number (14197932).

Almost surely, 2^216348960 is an apocalyptic number.

216348960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216348960 is an abundant number, since it is smaller than the sum of its proper divisors (465151776).

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

216348960 is a wasteful number, since it uses less digits than its factorization.

216348960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450745 (or 450737 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 216348960 is about 14708.8055259426. The cubic root of 216348960 is about 600.3229372658.

The spelling of 216348960 in words is "two hundred sixteen million, three hundred forty-eight thousand, nine hundred sixty".