211312368 has 120 divisors (see below), whose sum is σ = 627973200. Its totient is φ = 68031360.

The previous prime is 211312351. The next prime is 211312391. The reversal of 211312368 is 863213112.

It is a happy number.

211312368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414898 + ... + 415406.

It is an arithmetic number, because the mean of its divisors is an integer number (5233110).

Almost surely, 2^211312368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211312368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313986600).

211312368 is an abundant number, since it is smaller than the sum of its proper divisors (416660832).

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

211312368 is a wasteful number, since it uses less digits than its factorization.

211312368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 545 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 211312368 is about 14536.5872198395. The cubic root of 211312368 is about 595.6278174200.

The spelling of 211312368 in words is "two hundred eleven million, three hundred twelve thousand, three hundred sixty-eight".