213688896 has 84 divisors (see below), whose sum is σ = 596902032. Its totient is φ = 67458816.

The previous prime is 213688879. The next prime is 213688897. The reversal of 213688896 is 698886312.

213688896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213688897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67771 + ... + 70853.

Almost surely, 2^213688896 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 213688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298451016).

213688896 is an abundant number, since it is smaller than the sum of its proper divisors (383213136).

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

213688896 is a wasteful number, since it uses less digits than its factorization.

213688896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3107 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 213688896 is about 14618.1016551398. The cubic root of 213688896 is about 597.8524111638.

The spelling of 213688896 in words is "two hundred thirteen million, six hundred eighty-eight thousand, eight hundred ninety-six".