213686816 has 48 divisors (see below), whose sum is σ = 491049216. Its totient is φ = 89627136.

The previous prime is 213686779. The next prime is 213686827. The reversal of 213686816 is 618686312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380 + ... + 20676.

It is an arithmetic number, because the mean of its divisors is an integer number (10230192).

Almost surely, 2^213686816 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 213686816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245524608).

213686816 is an abundant number, since it is smaller than the sum of its proper divisors (277362400).

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

213686816 is a wasteful number, since it uses less digits than its factorization.

213686816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20361 (or 20353 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 213686816 is about 14618.0305102979. The cubic root of 213686816 is about 597.8504713702.

The spelling of 213686816 in words is "two hundred thirteen million, six hundred eighty-six thousand, eight hundred sixteen".