216704160 has 240 divisors, whose sum is σ = 799134336. Its totient is φ = 55199232.

The previous prime is 216704093. The next prime is 216704161. The reversal of 216704160 is 61407612.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×216704160² = 93921385922611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (216704161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297717 + ... + 298443.

Almost surely, 2^216704160 is an apocalyptic number.

216704160 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 216704160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399567168).

216704160 is an abundant number, since it is smaller than the sum of its proper divisors (582430176).

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

216704160 is a wasteful number, since it uses less digits than its factorization.

216704160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 760 counting only the distinct ones).

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

The square root of 216704160 is about 14720.8749739953. The cubic root of 216704160 is about 600.6512927737.

The spelling of 216704160 in words is "two hundred sixteen million, seven hundred four thousand, one hundred sixty".