216414160 has 40 divisors (see below), whose sum is σ = 505402920. Its totient is φ = 86180352.

The previous prime is 216414157. The next prime is 216414173. The reversal of 216414160 is 61414612.

It can be written as a sum of positive squares in 4 ways, for example, as 54819216 + 161594944 = 7404^2 + 12712^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12414 + ... + 24226.

It is an arithmetic number, because the mean of its divisors is an integer number (12635073).

Almost surely, 2^216414160 is an apocalyptic number.

216414160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216414160 is an abundant number, since it is smaller than the sum of its proper divisors (288988760).

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

216414160 is a wasteful number, since it uses less digits than its factorization.

216414160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12055 (or 12049 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 216414160 is about 14711.0217184260. The cubic root of 216414160 is about 600.3832366455.

Adding to 216414160 its reverse (61414612), we get a palindrome (277828772).

The spelling of 216414160 in words is "two hundred sixteen million, four hundred fourteen thousand, one hundred sixty".