213050880 has 240 divisors, whose sum is σ = 843901344. Its totient is φ = 48660480.

The previous prime is 213050867. The next prime is 213050881. The reversal of 213050880 is 88050312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213050881) 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 23 ways as a sum of consecutive naturals, for example, 160620 + ... + 161940.

Almost surely, 2^213050880 is an apocalyptic number.

213050880 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 213050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421950672).

213050880 is an abundant number, since it is smaller than the sum of its proper divisors (630850464).

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

213050880 is a wasteful number, since it uses less digits than its factorization.

213050880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 213050880 is about 14596.2625353205. The cubic root of 213050880 is about 597.2568106338.

The spelling of 213050880 in words is "two hundred thirteen million, fifty thousand, eight hundred eighty".