820347102 has 48 divisors (see below), whose sum is σ = 1857902592. Its totient is φ = 271275480.

The previous prime is 820347089. The next prime is 820347107. The reversal of 820347102 is 201743028.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820347107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55077 + ... + 68367.

It is an arithmetic number, because the mean of its divisors is an integer number (38706304).

Almost surely, 2^820347102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820347102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928951296).

820347102 is an abundant number, since it is smaller than the sum of its proper divisors (1037555490).

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

820347102 is a wasteful number, since it uses less digits than its factorization.

820347102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13435 (or 13423 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 820347102 is about 28641.7021491391. The cubic root of 820347102 is about 936.1222103741.

The spelling of 820347102 in words is "eight hundred twenty million, three hundred forty-seven thousand, one hundred two".