216542160 has 280 divisors, whose sum is σ = 780664320. Its totient is φ = 55800576.

The previous prime is 216542089. The next prime is 216542189. The reversal of 216542160 is 61245612.

216542160 is a `hidden beast` number, since 2 + 1 + 654 + 2 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2741001 + ... + 2741079.

Almost surely, 2^216542160 is an apocalyptic number.

216542160 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 216542160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390332160).

216542160 is an abundant number, since it is smaller than the sum of its proper divisors (564122160).

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

216542160 is an equidigital number, since it uses as much as digits as its factorization.

216542160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 216542160 is about 14715.3715549421. The cubic root of 216542160 is about 600.5015805780.

Adding to 216542160 its reverse (61245612), we get a palindrome (277787772).

The spelling of 216542160 in words is "two hundred sixteen million, five hundred forty-two thousand, one hundred sixty".