216953800 has 96 divisors (see below), whose sum is σ = 579427200. Its totient is φ = 74004480.

The previous prime is 216953773. The next prime is 216953827. The reversal of 216953800 is 8359612.

216953800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216953773) and next prime (216953827).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493981 + ... + 494419.

It is an arithmetic number, because the mean of its divisors is an integer number (6035700).

Almost surely, 2^216953800 is an apocalyptic number.

216953800 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 216953800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289713600).

216953800 is an abundant number, since it is smaller than the sum of its proper divisors (362473400).

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

216953800 is a wasteful number, since it uses less digits than its factorization.

216953800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 216953800 is about 14729.3516490034. The cubic root of 216953800 is about 600.8818514100.

The spelling of 216953800 in words is "two hundred sixteen million, nine hundred fifty-three thousand, eight hundred".