210940128 has 144 divisors (see below), whose sum is σ = 721768320. Its totient is φ = 57086208.

The previous prime is 210940127. The next prime is 210940141. The reversal of 210940128 is 821049012.

210940128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210940123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35551 + ... + 41057.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2^210940128 is an apocalyptic number.

210940128 is a gapful number since it is divisible by the number (28) 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 210940128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360884160).

210940128 is an abundant number, since it is smaller than the sum of its proper divisors (510828192).

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

210940128 is a wasteful number, since it uses less digits than its factorization.

210940128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 210940128 is about 14523.7780208870. The cubic root of 210940128 is about 595.2778665904.

The spelling of 210940128 in words is "two hundred ten million, nine hundred forty thousand, one hundred twenty-eight".