216470160 has 120 divisors (see below), whose sum is σ = 744811704. Its totient is φ = 56309760.

The previous prime is 216470143. The next prime is 216470171. The reversal of 216470160 is 61074612.

216470160 is a `hidden beast` number, since 2 + 1 + 647 + 0 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20358144 + 196112016 = 4512^2 + 14004^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25854 + ... + 33186.

Almost surely, 2^216470160 is an apocalyptic number.

216470160 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 216470160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372405852).

216470160 is an abundant number, since it is smaller than the sum of its proper divisors (528341544).

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

216470160 is a wasteful number, since it uses less digits than its factorization.

216470160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7393 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 216470160 is about 14712.9249301422. The cubic root of 216470160 is about 600.4350178562.

The spelling of 216470160 in words is "two hundred sixteen million, four hundred seventy thousand, one hundred sixty".