216273792 has 128 divisors (see below), whose sum is σ = 667814400. Its totient is φ = 60733440.

The previous prime is 216273791. The next prime is 216273803. The reversal of 216273792 is 297372612.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 216273792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216273791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163309 + ... + 164627.

It is an arithmetic number, because the mean of its divisors is an integer number (5217300).

Almost surely, 2^216273792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216273792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333907200).

216273792 is an abundant number, since it is smaller than the sum of its proper divisors (451540608).

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

216273792 is a wasteful number, since it uses less digits than its factorization.

216273792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1392 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 216273792 is about 14706.2500998725. The cubic root of 216273792 is about 600.2534040733.

The spelling of 216273792 in words is "two hundred sixteen million, two hundred seventy-three thousand, seven hundred ninety-two".