982206720 has 432 divisors, whose sum is σ = 3879937152. Its totient is φ = 227082240.

The previous prime is 982206707. The next prime is 982206721. The reversal of 982206720 is 27602289.

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

It is not an unprimeable number, because it can be changed into a prime (982206721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2914392 + ... + 2914728.

It is an arithmetic number, because the mean of its divisors is an integer number (8981336).

Almost surely, 2^982206720 is an apocalyptic number.

982206720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939968576).

982206720 is an abundant number, since it is smaller than the sum of its proper divisors (2897730432).

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

982206720 is a wasteful number, since it uses less digits than its factorization.

982206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 982206720 is about 31340.1774085598. The cubic root of 982206720 is about 994.0333768803.

It can be divided in two parts, 982 and 206720, that added together give a palindrome (207702).

The spelling of 982206720 in words is "nine hundred eighty-two million, two hundred six thousand, seven hundred twenty".