216416560 has 40 divisors (see below), whose sum is σ = 520524720. Its totient is φ = 83580672.

The previous prime is 216416537. The next prime is 216416569. The reversal of 216416560 is 65614612.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×216416560² = 93672254884467200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216416569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44322 + ... + 48961.

It is an arithmetic number, because the mean of its divisors is an integer number (13013118).

Almost surely, 2^216416560 is an apocalyptic number.

216416560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216416560 is an abundant number, since it is smaller than the sum of its proper divisors (304108160).

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

216416560 is a wasteful number, since it uses less digits than its factorization.

216416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93325 (or 93319 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 216416560 is about 14711.1032896924. The cubic root of 216416560 is about 600.3854560234.

The spelling of 216416560 in words is "two hundred sixteen million, four hundred sixteen thousand, five hundred sixty".