810152 has 64 divisors (see below), whose sum is σ = 1969920. Its totient is φ = 304128.

The previous prime is 810151. The next prime is 810191. The reversal of 810152 is 251018.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 810152.

It is not an unprimeable number, because it can be changed into a prime (810151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21878 + ... + 21914.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2⁸¹⁰¹⁵² 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 810152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984960).

810152 is an abundant number, since it is smaller than the sum of its proper divisors (1159768).

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

810152 is a wasteful number, since it uses less digits than its factorization.

810152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 810152 is about 900.0844404832. The cubic root of 810152 is about 93.2228056700. Note that the first 3 decimals are identical.

The spelling of 810152 in words is "eight hundred ten thousand, one hundred fifty-two".