810960 has 80 divisors (see below), whose sum is σ = 2618880. Its totient is φ = 207360.

The previous prime is 810949. The next prime is 810961. The reversal of 810960 is 69018.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×810960² = 1315312243200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 810960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810961) by changing a digit.

810960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 7386 + ... + 7494.

It is an arithmetic number, because the mean of its divisors is an integer number (32736).

2⁸¹⁰⁹⁶⁰ is an apocalyptic number.

810960 is a gapful number since it is divisible by the number (80) 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 810960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309440).

810960 is an abundant number, since it is smaller than the sum of its proper divisors (1807920).

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

810960 is a wasteful number, since it uses less digits than its factorization.

810960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 810960 is about 900.5331754022. The cubic root of 810960 is about 93.2537870988.

Adding to 810960 its reverse (69018), we get a palindrome (879978).

It can be divided in two parts, 810 and 960, that added together give a triangular number (1770 = T₅₉).

The spelling of 810960 in words is "eight hundred ten thousand, nine hundred sixty".