216794880 has 432 divisors, whose sum is σ = 843714144. Its totient is φ = 53084160.

The previous prime is 216794869. The next prime is 216794887. The reversal of 216794880 is 88497612.

216794880 is a `hidden beast` number, since 2 + 167 + 9 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216794887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5287660 + ... + 5287700.

It is an arithmetic number, because the mean of its divisors is an integer number (1953042).

Almost surely, 2^216794880 is an apocalyptic number.

216794880 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 216794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421857072).

216794880 is an abundant number, since it is smaller than the sum of its proper divisors (626919264).

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

216794880 is an equidigital number, since it uses as much as digits as its factorization.

216794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 216794880 is about 14723.9559901543. The cubic root of 216794880 is about 600.7350990146.

The spelling of 216794880 in words is "two hundred sixteen million, seven hundred ninety-four thousand, eight hundred eighty".