213688320 has 224 divisors, whose sum is σ = 717182208. Its totient is φ = 54263808.

The previous prime is 213688303. The next prime is 213688333. The reversal of 213688320 is 23886312.

213688320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4546537 + ... + 4546583.

Almost surely, 2^213688320 is an apocalyptic number.

213688320 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 213688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358591104).

213688320 is an abundant number, since it is smaller than the sum of its proper divisors (503493888).

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

213688320 is an equidigital number, since it uses as much as digits as its factorization.

213688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 213688320 is about 14618.0819535259. The cubic root of 213688320 is about 597.8518739915.

The spelling of 213688320 in words is "two hundred thirteen million, six hundred eighty-eight thousand, three hundred twenty".