211096080 has 240 divisors, whose sum is σ = 804323520. Its totient is φ = 49185792.

The previous prime is 211096079. The next prime is 211096097. The reversal of 211096080 is 80690112.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177247 + ... + 178433.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2^211096080 is an apocalyptic number.

211096080 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 211096080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

211096080 is an abundant number, since it is smaller than the sum of its proper divisors (593227440).

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

211096080 is a wasteful number, since it uses less digits than its factorization.

211096080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 211096080 is about 14529.1458799201. The cubic root of 211096080 is about 595.4245304897.

The spelling of 211096080 in words is "two hundred eleven million, ninety-six thousand, eighty".