216956160 has 216 divisors, whose sum is σ = 772448040. Its totient is φ = 56180736.

The previous prime is 216956147. The next prime is 216956167. The reversal of 216956160 is 61659612.

216956160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 94012416 + 122943744 = 9696^2 + 11088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216956167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425986 + ... + 426494.

Almost surely, 2^216956160 is an apocalyptic number.

216956160 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 216956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386224020).

216956160 is an abundant number, since it is smaller than the sum of its proper divisors (555491880).

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

216956160 is a wasteful number, since it uses less digits than its factorization.

216956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 216956160 is about 14729.4317609336. The cubic root of 216956160 is about 600.8840301780.

The spelling of 216956160 in words is "two hundred sixteen million, nine hundred fifty-six thousand, one hundred sixty".