810600040 has 128 divisors (see below), whose sum is σ = 2032128000. Its totient is φ = 289605888.

The previous prime is 810600031. The next prime is 810600047. The reversal of 810600040 is 40006018.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 810599990 and 810600017.

It is not an unprimeable number, because it can be changed into a prime (810600047) 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, 1380627 + ... + 1381213.

It is an arithmetic number, because the mean of its divisors is an integer number (15876000).

Almost surely, 2^810600040 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 810600040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064000).

810600040 is an abundant number, since it is smaller than the sum of its proper divisors (1221527960).

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

810600040 is a wasteful number, since it uses less digits than its factorization.

810600040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 810600040 is about 28471.0386182169. The cubic root of 810600040 is about 932.3998756862.

Adding to 810600040 its reverse (40006018), we get a palindrome (850606058).

The spelling of 810600040 in words is "eight hundred ten million, six hundred thousand, forty".