810252 has 36 divisors (see below), whose sum is σ = 2083536. Its totient is φ = 265440.

The previous prime is 810239. The next prime is 810253. The reversal of 810252 is 252018.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (810253) by changing a digit.

810252 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 11 ways as a sum of consecutive naturals, for example, 2398 + ... + 2714.

It is an arithmetic number, because the mean of its divisors is an integer number (57876).

2⁸¹⁰²⁵² 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 810252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041768).

810252 is an abundant number, since it is smaller than the sum of its proper divisors (1273284).

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

810252 is a wasteful number, since it uses less digits than its factorization.

810252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 810252 is about 900.1399891128. The cubic root of 810252 is about 93.2266411219.

The spelling of 810252 in words is "eight hundred ten thousand, two hundred fifty-two".