819987260 has 48 divisors (see below), whose sum is σ = 1817121600. Its totient is φ = 310193664.

The previous prime is 819987247. The next prime is 819987341. The reversal of 819987260 is 62789918.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 819987199 and 819987208.

It is a congruent number.

It is an unprimeable 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, 30926 + ... + 50954.

It is an arithmetic number, because the mean of its divisors is an integer number (37856700).

Almost surely, 2^819987260 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 819987260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908560800).

819987260 is an abundant number, since it is smaller than the sum of its proper divisors (997134340).

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

819987260 is a wasteful number, since it uses less digits than its factorization.

819987260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20150 (or 20148 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 50.

The square root of 819987260 is about 28635.4196756395. The cubic root of 819987260 is about 935.9853149253.

It can be divided in two parts, 8199 and 87260, that added together give a palindrome (95459).

The spelling of 819987260 in words is "eight hundred nineteen million, nine hundred eighty-seven thousand, two hundred sixty".