210520164 has 48 divisors (see below), whose sum is σ = 515793600. Its totient is φ = 66734976.

The previous prime is 210520159. The next prime is 210520229. The reversal of 210520164 is 461025012.

It is a self number, because there is not a number n which added to its sum of digits gives 210520164.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18802 + ... + 27830.

It is an arithmetic number, because the mean of its divisors is an integer number (10745700).

Almost surely, 2^210520164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210520164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257896800).

210520164 is an abundant number, since it is smaller than the sum of its proper divisors (305273436).

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

210520164 is a wasteful number, since it uses less digits than its factorization.

210520164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9132 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 210520164 is about 14509.3130092365. The cubic root of 210520164 is about 594.8825547917.

Adding to 210520164 its reverse (461025012), we get a palindrome (671545176).

The spelling of 210520164 in words is "two hundred ten million, five hundred twenty thousand, one hundred sixty-four".