211361160 has 64 divisors (see below), whose sum is σ = 641753280. Its totient is φ = 55681280.

The previous prime is 211361159. The next prime is 211361167. The reversal of 211361160 is 61163112.

It is not an unprimeable number, because it can be changed into a prime (211361167) 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, 651 + ... + 20570.

It is an arithmetic number, because the mean of its divisors is an integer number (10027395).

Almost surely, 2^211361160 is an apocalyptic number.

211361160 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 211361160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320876640).

211361160 is an abundant number, since it is smaller than the sum of its proper divisors (430392120).

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

211361160 is a wasteful number, since it uses less digits than its factorization.

211361160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21318 (or 21314 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 211361160 is about 14538.2653710819. The cubic root of 211361160 is about 595.6736573555.

The spelling of 211361160 in words is "two hundred eleven million, three hundred sixty-one thousand, one hundred sixty".