211317080 has 64 divisors (see below), whose sum is σ = 528595200. Its totient is φ = 75502080.

The previous prime is 211317059. The next prime is 211317083. The reversal of 211317080 is 80713112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211317083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9566 + ... + 22674.

It is an arithmetic number, because the mean of its divisors is an integer number (8259300).

Almost surely, 2^211317080 is an apocalyptic number.

211317080 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 211317080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264297600).

211317080 is an abundant number, since it is smaller than the sum of its proper divisors (317278120).

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

211317080 is a wasteful number, since it uses less digits than its factorization.

211317080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13164 (or 13160 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 211317080 is about 14536.7492927408. The cubic root of 211317080 is about 595.6322446375.

The spelling of 211317080 in words is "two hundred eleven million, three hundred seventeen thousand, eighty".