215816800 has 72 divisors (see below), whose sum is σ = 532278432. Its totient is φ = 85440000.

The previous prime is 215816773. The next prime is 215816807. The reversal of 215816800 is 8618512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215816807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79465 + ... + 82135.

It is an arithmetic number, because the mean of its divisors is an integer number (7392756).

Almost surely, 2^215816800 is an apocalyptic number.

215816800 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 215816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266139216).

215816800 is an abundant number, since it is smaller than the sum of its proper divisors (316461632).

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

215816800 is a wasteful number, since it uses less digits than its factorization.

215816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 215816800 is about 14690.7045440306. The cubic root of 215816800 is about 599.8303223907.

The spelling of 215816800 in words is "two hundred fifteen million, eight hundred sixteen thousand, eight hundred".