210144080 has 20 divisors (see below), whose sum is σ = 488585172. Its totient is φ = 84057600.

The previous prime is 210144079. The next prime is 210144211. The reversal of 210144080 is 80441012.

It can be written as a sum of positive squares in 2 ways, for example, as 162919696 + 47224384 = 12764^2 + 6872^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1313321 + ... + 1313480.

Almost surely, 2^210144080 is an apocalyptic number.

210144080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210144080 is an abundant number, since it is smaller than the sum of its proper divisors (278441092).

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

210144080 is a wasteful number, since it uses less digits than its factorization.

210144080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626814 (or 2626808 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 210144080 is about 14496.3471260866. The cubic root of 210144080 is about 594.5281007513.

Adding to 210144080 its reverse (80441012), we get a palindrome (290585092).

The spelling of 210144080 in words is "two hundred ten million, one hundred forty-four thousand, eighty".