216357120 has 216 divisors, whose sum is σ = 855830976. Its totient is φ = 49434624.

The previous prime is 216357109. The next prime is 216357151. The reversal of 216357120 is 21753612.

It is a happy number.

216357120 is a `hidden beast` number, since 2 + 1 + 635 + 7 + 1 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79299 + ... + 81981.

Almost surely, 2^216357120 is an apocalyptic number.

216357120 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 216357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427915488).

216357120 is an abundant number, since it is smaller than the sum of its proper divisors (639473856).

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

216357120 is a wasteful number, since it uses less digits than its factorization.

216357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 216357120 is about 14709.0829081898. The cubic root of 216357120 is about 600.3304845998.

The spelling of 216357120 in words is "two hundred sixteen million, three hundred fifty-seven thousand, one hundred twenty".