216859104 has 324 divisors, whose sum is σ = 794731392. Its totient is φ = 55883520.

The previous prime is 216859061. The next prime is 216859121. The reversal of 216859104 is 401958612.

216859104 is a `hidden beast` number, since 2 + 1 + 68 + 591 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1707489 + ... + 1707615.

Almost surely, 2^216859104 is an apocalyptic number.

216859104 is a gapful number since it is divisible by the number (24) 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 216859104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397365696).

216859104 is an abundant number, since it is smaller than the sum of its proper divisors (577872288).

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

216859104 is a wasteful number, since it uses less digits than its factorization.

216859104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 216859104 is about 14726.1367642705. The cubic root of 216859104 is about 600.7944143788.

The spelling of 216859104 in words is "two hundred sixteen million, eight hundred fifty-nine thousand, one hundred four".