216775104 has 224 divisors, whose sum is σ = 744199680. Its totient is φ = 54079488.

The previous prime is 216775103. The next prime is 216775129. The reversal of 216775104 is 401577612.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216775103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331642 + ... + 332294.

It is an arithmetic number, because the mean of its divisors is an integer number (3322320).

Almost surely, 2^216775104 is an apocalyptic number.

216775104 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 216775104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372099840).

216775104 is an abundant number, since it is smaller than the sum of its proper divisors (527424576).

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

216775104 is a wasteful number, since it uses less digits than its factorization.

216775104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 216775104 is about 14723.2844161892. The cubic root of 216775104 is about 600.7168321340.

It can be divided in two parts, 21 and 6775104, that multiplied together give a square (142277184 = 11928²).

The spelling of 216775104 in words is "two hundred sixteen million, seven hundred seventy-five thousand, one hundred four".