820980630 has 128 divisors (see below), whose sum is σ = 2317040640. Its totient is φ = 206426880.

The previous prime is 820980623. The next prime is 820980637. The reversal of 820980630 is 36089028.

It is an interprime number because it is at equal distance from previous prime (820980623) and next prime (820980637).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820980637) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 452425 + ... + 454235.

It is an arithmetic number, because the mean of its divisors is an integer number (18101880).

Almost surely, 2^820980630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820980630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158520320).

820980630 is an abundant number, since it is smaller than the sum of its proper divisors (1496060010).

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

820980630 is a wasteful number, since it uses less digits than its factorization.

820980630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 820980630 is about 28652.7595529645. The cubic root of 820980630 is about 936.3631275130.

The spelling of 820980630 in words is "eight hundred twenty million, nine hundred eighty thousand, six hundred thirty".