213006080 has 72 divisors (see below), whose sum is σ = 583128672. Its totient is φ = 73027584.

The previous prime is 213006061. The next prime is 213006109. The reversal of 213006080 is 80600312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2927 + ... + 20846.

Almost surely, 2^213006080 is an apocalyptic number.

213006080 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 213006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291564336).

213006080 is an abundant number, since it is smaller than the sum of its proper divisors (370122592).

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

213006080 is an equidigital number, since it uses as much as digits as its factorization.

213006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23801 (or 23787 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 213006080 is about 14594.7278152078. The cubic root of 213006080 is about 597.2149442953.

Adding to 213006080 its reverse (80600312), we get a palindrome (293606392).

The spelling of 213006080 in words is "two hundred thirteen million, six thousand, eighty".