820199340 has 108 divisors (see below), whose sum is σ = 2643063696. Its totient is φ = 205840896.

The previous prime is 820199339. The next prime is 820199363. The reversal of 820199340 is 43991028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 820199295 and 820199304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44137 + ... + 59903.

It is an arithmetic number, because the mean of its divisors is an integer number (24472812).

Almost surely, 2^820199340 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 820199340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321531848).

820199340 is an abundant number, since it is smaller than the sum of its proper divisors (1822864356).

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

820199340 is a wasteful number, since it uses less digits than its factorization.

820199340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15816 (or 15794 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 820199340 is about 28639.1225424244. The cubic root of 820199340 is about 936.0660018108.

The spelling of 820199340 in words is "eight hundred twenty million, one hundred ninety-nine thousand, three hundred forty".