982745820 has 144 divisors (see below), whose sum is σ = 3414640320. Its totient is φ = 224114688.

The previous prime is 982745791. The next prime is 982745917. The reversal of 982745820 is 28547289.

982745820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973476 + ... + 974484.

It is an arithmetic number, because the mean of its divisors is an integer number (23712780).

Almost surely, 2^982745820 is an apocalyptic number.

982745820 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 982745820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707320160).

982745820 is an abundant number, since it is smaller than the sum of its proper divisors (2431894500).

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

982745820 is a wasteful number, since it uses less digits than its factorization.

982745820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 982745820 is about 31348.7770096379. Note that the first 3 decimals coincide. The cubic root of 982745820 is about 994.2152073680.

The spelling of 982745820 in words is "nine hundred eighty-two million, seven hundred forty-five thousand, eight hundred twenty".