213319680 has 272 divisors, whose sum is σ = 805300224. Its totient is φ = 47185920.

The previous prime is 213319657. The next prime is 213319697. The reversal of 213319680 is 86913312.

It is a nialpdrome in base 16.

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, 6881265 + ... + 6881295.

Almost surely, 2^213319680 is an apocalyptic number.

213319680 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 213319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402650112).

213319680 is an abundant number, since it is smaller than the sum of its proper divisors (591980544).

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

213319680 is an frugal number, since it uses more digits than its factorization.

213319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 213319680 is about 14605.4674694102. The cubic root of 213319680 is about 597.5078854955.

The spelling of 213319680 in words is "two hundred thirteen million, three hundred nineteen thousand, six hundred eighty".