213118080 has 256 divisors, whose sum is σ = 789039360. Its totient is φ = 47923200.

The previous prime is 213118051. The next prime is 213118093. The reversal of 213118080 is 80811312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213118080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357362 + ... + 1357518.

It is an arithmetic number, because the mean of its divisors is an integer number (3082185).

Almost surely, 2^213118080 is an apocalyptic number.

213118080 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 213118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394519680).

213118080 is an abundant number, since it is smaller than the sum of its proper divisors (575921280).

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

213118080 is a wasteful number, since it uses less digits than its factorization.

213118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 213118080 is about 14598.5643129727. The cubic root of 213118080 is about 597.3195991386.

Adding to 213118080 its reverse (80811312), we get a palindrome (293929392).

The spelling of 213118080 in words is "two hundred thirteen million, one hundred eighteen thousand, eighty".