210804126 has 64 divisors (see below), whose sum is σ = 482926080. Its totient is φ = 60808320.

The previous prime is 210804119. The next prime is 210804127. The reversal of 210804126 is 621408012.

210804126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210804096 and 210804105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210804127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151956 + ... + 153336.

It is an arithmetic number, because the mean of its divisors is an integer number (7545720).

Almost surely, 2^210804126 is an apocalyptic number.

210804126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210804126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241463040).

210804126 is an abundant number, since it is smaller than the sum of its proper divisors (272121954).

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

210804126 is a wasteful number, since it uses less digits than its factorization.

210804126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 210804126 is about 14519.0952197442. The cubic root of 210804126 is about 595.1499055008.

The spelling of 210804126 in words is "two hundred ten million, eight hundred four thousand, one hundred twenty-six".