216949104 has 200 divisors, whose sum is σ = 683282160. Its totient is φ = 66189312.

The previous prime is 216949097. The next prime is 216949127. The reversal of 216949104 is 401949612.

It is a happy number.

216949104 is a `hidden beast` number, since 2 + 169 + 491 + 0 + 4 = 666.

216949104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×216949104³ (a number of 26 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 947262 + ... + 947490.

Almost surely, 2^216949104 is an apocalyptic number.

216949104 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 216949104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341641080).

216949104 is an abundant number, since it is smaller than the sum of its proper divisors (466333056).

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

216949104 is a wasteful number, since it uses less digits than its factorization.

216949104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 216949104 is about 14729.1922385445. The cubic root of 216949104 is about 600.8775159838.

The spelling of 216949104 in words is "two hundred sixteen million, nine hundred forty-nine thousand, one hundred four".