210540 has 72 divisors (see below), whose sum is σ = 670320. Its totient is φ = 49280.

The previous prime is 210533. The next prime is 210557. The reversal of 210540 is 45012.

210540 = T₇₅ + T₇₆ + ... + T₁₁₈.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 16.

It is an unprimeable number.

210540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7246 + ... + 7274.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

2²¹⁰⁵⁴⁰ is an apocalyptic number.

210540 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 210540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335160).

210540 is an abundant number, since it is smaller than the sum of its proper divisors (459780).

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

210540 is a wasteful number, since it uses less digits than its factorization.

210540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 210540 is about 458.8463795215. The cubic root of 210540 is about 59.4901238227.

Adding to 210540 its reverse (45012), we get a palindrome (255552).

It can be divided in two parts, 2105 and 40, that added together give a triangular number (2145 = T₆₅).

The spelling of 210540 in words is "two hundred ten thousand, five hundred forty".