211320540 has 144 divisors (see below), whose sum is σ = 692048448. Its totient is φ = 51996672.

The previous prime is 211320517. The next prime is 211320553. The reversal of 211320540 is 45023112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 161529 + ... + 162831.

It is an arithmetic number, because the mean of its divisors is an integer number (4805892).

Almost surely, 2^211320540 is an apocalyptic number.

211320540 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 211320540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346024224).

211320540 is an abundant number, since it is smaller than the sum of its proper divisors (480727908).

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

211320540 is a wasteful number, since it uses less digits than its factorization.

211320540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 211320540 is about 14536.8683009787. The cubic root of 211320540 is about 595.6354954811.

Adding to 211320540 its reverse (45023112), we get a palindrome (256343652).

The spelling of 211320540 in words is "two hundred eleven million, three hundred twenty thousand, five hundred forty".