216346140 has 120 divisors (see below), whose sum is σ = 687289680. Its totient is φ = 56961792.

The previous prime is 216346121. The next prime is 216346171. The reversal of 216346140 is 41643612.

216346140 is a `hidden beast` number, since 2 + 16 + 34 + 614 + 0 = 666.

216346140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133656 + ... + 135264.

It is an arithmetic number, because the mean of its divisors is an integer number (5727414).

Almost surely, 2^216346140 is an apocalyptic number.

216346140 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 216346140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343644840).

216346140 is an abundant number, since it is smaller than the sum of its proper divisors (470943540).

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

216346140 is a wasteful number, since it uses less digits than its factorization.

216346140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 216346140 is about 14708.7096646851. The cubic root of 216346140 is about 600.3203289518.

Adding to 216346140 its reverse (41643612), we get a palindrome (257989752).

The spelling of 216346140 in words is "two hundred sixteen million, three hundred forty-six thousand, one hundred forty".