810116424 has 128 divisors (see below), whose sum is σ = 2447827200. Its totient is φ = 246758400.

The previous prime is 810116401. The next prime is 810116429. The reversal of 810116424 is 424611018.

It is a happy number.

810116424 is a `hidden beast` number, since 8 + 1 + 0 + 11 + 642 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (810116429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 287824 + ... + 290624.

It is an arithmetic number, because the mean of its divisors is an integer number (19123650).

Almost surely, 2^810116424 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 810116424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223913600).

810116424 is an abundant number, since it is smaller than the sum of its proper divisors (1637710776).

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

810116424 is a wasteful number, since it uses less digits than its factorization.

810116424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 810116424 is about 28462.5442292146. The cubic root of 810116424 is about 932.2144109351.

The spelling of 810116424 in words is "eight hundred ten million, one hundred sixteen thousand, four hundred twenty-four".