213816960 has 192 divisors, whose sum is σ = 843972480. Its totient is φ = 48863232.

The previous prime is 213816931. The next prime is 213816961. The reversal of 213816960 is 69618312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213816961) 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 23 ways as a sum of consecutive naturals, for example, 37669 + ... + 42971.

It is an arithmetic number, because the mean of its divisors is an integer number (4395690).

Almost surely, 2^213816960 is an apocalyptic number.

213816960 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 213816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421986240).

213816960 is an abundant number, since it is smaller than the sum of its proper divisors (630155520).

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

213816960 is a wasteful number, since it uses less digits than its factorization.

213816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 5320 counting only the distinct ones).

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

The square root of 213816960 is about 14622.4813215815. The cubic root of 213816960 is about 597.9718185248.

The spelling of 213816960 in words is "two hundred thirteen million, eight hundred sixteen thousand, nine hundred sixty".