820208298 has 64 divisors (see below), whose sum is σ = 2024128512. Its totient is φ = 215766720.

The previous prime is 820208297. The next prime is 820208303. The reversal of 820208298 is 892802028.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (820208297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240183 + ... + 243573.

It is an arithmetic number, because the mean of its divisors is an integer number (31627008).

Almost surely, 2^820208298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820208298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012064256).

820208298 is an abundant number, since it is smaller than the sum of its proper divisors (1203920214).

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

820208298 is a wasteful number, since it uses less digits than its factorization.

820208298 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859.

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 820208298 is about 28639.2789364537. The cubic root of 820208298 is about 936.0694096201.

The spelling of 820208298 in words is "eight hundred twenty million, two hundred eight thousand, two hundred ninety-eight".