213798816 has 288 divisors, whose sum is σ = 784982016. Its totient is φ = 53568000.

The previous prime is 213798799. The next prime is 213798841. The reversal of 213798816 is 618897312.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687301 + ... + 687611.

It is an arithmetic number, because the mean of its divisors is an integer number (2725632).

Almost surely, 2^213798816 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 213798816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392491008).

213798816 is an abundant number, since it is smaller than the sum of its proper divisors (571183200).

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

213798816 is a wasteful number, since it uses less digits than its factorization.

213798816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 213798816 is about 14621.8608938808. The cubic root of 213798816 is about 597.9549038897.

The spelling of 213798816 in words is "two hundred thirteen million, seven hundred ninety-eight thousand, eight hundred sixteen".